Internformat: Lectures on Chern-Weil theory and Witten deformations

Lectures on Chern-Weil theory and Witten deformations:

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Zhang, Weiping 1964- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Pub. Co. c2001
Schriftenreihe:	Nankai tracts in mathematics v. 4
Schlagworte:	Chern classes Index theorems Complexes Morse-Theorie Chern-Klasse Poincaré-Indexmethode
Online-Zugang:	FHN01 Volltext
Zusammenfassung:	This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten
Beschreibung:	xi, 117 p
ISBN:	9789812386588

Internformat

MARC


LEADER	00000nmm a2200000zcb4500
001	BV044633907
003	DE-604
005	00000000000000.0
007	cr\|uuu---uuuuu
008	171120s2001 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 9789812386588 \|c electronic bk. \|9 978-981-238-658-8
024	7		\|a 10.1142/4756 \|2 doi
035			\|a (ZDB-124-WOP)00003119
035			\|a (OCoLC)881298675
035			\|a (DE-599)BVBBV044633907
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
049			\|a DE-92
082	0		\|a 514.72 \|2 22
084			\|a SK 350 \|0 (DE-625)143233: \|2 rvk
084			\|a SK 370 \|0 (DE-625)143234: \|2 rvk
100	1		\|a Zhang, Weiping \|d 1964- \|e Verfasser \|4 aut
245	1	0	\|a Lectures on Chern-Weil theory and Witten deformations \|c Weiping Zhang
264		1	\|a Singapore \|b World Scientific Pub. Co. \|c c2001
300			\|a xi, 117 p
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	0		\|a Nankai tracts in mathematics \|v v. 4
520			\|a This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten
650		4	\|a Chern classes
650		4	\|a Index theorems
650		4	\|a Complexes
650	0	7	\|a Morse-Theorie \|0 (DE-588)4197103-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Chern-Klasse \|0 (DE-588)4306750-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Poincaré-Indexmethode \|0 (DE-588)4174969-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Poincaré-Indexmethode \|0 (DE-588)4174969-8 \|D s
689	0		\|8 1\p \|5 DE-604
689	1	0	\|a Morse-Theorie \|0 (DE-588)4197103-6 \|D s
689	1		\|8 2\p \|5 DE-604
689	2	0	\|a Chern-Klasse \|0 (DE-588)4306750-5 \|D s
689	2		\|8 3\p \|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|z 9789810246853
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|z 9810246854
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|z 9810246862 (pbk)
856	4	0	\|u http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc \|x Verlag \|z URL des Erstveroeffentlichers \|3 Volltext
912			\|a ZDB-124-WOP
999			\|a oai:aleph.bib-bvb.de:BVB01-030031879
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 2\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
883	1		\|8 3\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
966	e		\|u http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc \|l FHN01 \|p ZDB-124-WOP \|q FHN_PDA_WOP \|x Verlag \|3 Volltext

Datensatz im Suchindex

_version_	1804178044935471104
any_adam_object
author	Zhang, Weiping 1964-
author_facet	Zhang, Weiping 1964-
author_role	aut
author_sort	Zhang, Weiping 1964-
author_variant	w z wz
building	Verbundindex
bvnumber	BV044633907
classification_rvk	SK 350 SK 370
collection	ZDB-124-WOP
ctrlnum	(ZDB-124-WOP)00003119 (OCoLC)881298675 (DE-599)BVBBV044633907
dewey-full	514.72
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	514 - Topology
dewey-raw	514.72
dewey-search	514.72
dewey-sort	3514.72
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02872nmm a2200589zcb4500</leader><controlfield tag="001">BV044633907</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">171120s2001 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812386588</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-238-658-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/4756</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00003119</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)881298675</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044633907</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.72</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhang, Weiping</subfield><subfield code="d">1964-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on Chern-Weil theory and Witten deformations</subfield><subfield code="c">Weiping Zhang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 117 p</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Nankai tracts in mathematics</subfield><subfield code="v">v. 4</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chern classes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Index theorems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Complexes</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Morse-Theorie</subfield><subfield code="0">(DE-588)4197103-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Chern-Klasse</subfield><subfield code="0">(DE-588)4306750-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poincaré-Indexmethode</subfield><subfield code="0">(DE-588)4174969-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Poincaré-Indexmethode</subfield><subfield code="0">(DE-588)4174969-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Morse-Theorie</subfield><subfield code="0">(DE-588)4197103-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Chern-Klasse</subfield><subfield code="0">(DE-588)4306750-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789810246853</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9810246854</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9810246862 (pbk)</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030031879</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV044633907
illustrated	Not Illustrated
indexdate	2024-07-10T07:57:43Z
institution	BVB
isbn	9789812386588
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-030031879
oclc_num	881298675
open_access_boolean
owner	DE-92
owner_facet	DE-92
physical	xi, 117 p
psigel	ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP
publishDate	2001
publishDateSearch	2001
publishDateSort	2001
publisher	World Scientific Pub. Co.
record_format	marc
series2	Nankai tracts in mathematics
spelling	Zhang, Weiping 1964- Verfasser aut Lectures on Chern-Weil theory and Witten deformations Weiping Zhang Singapore World Scientific Pub. Co. c2001 xi, 117 p txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 4 This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Chern-Klasse (DE-588)4306750-5 gnd rswk-swf Poincaré-Indexmethode (DE-588)4174969-8 gnd rswk-swf Poincaré-Indexmethode (DE-588)4174969-8 s 1\p DE-604 Morse-Theorie (DE-588)4197103-6 s 2\p DE-604 Chern-Klasse (DE-588)4306750-5 s 3\p DE-604 Erscheint auch als Druck-Ausgabe 9789810246853 Erscheint auch als Druck-Ausgabe 9810246854 Erscheint auch als Druck-Ausgabe 9810246862 (pbk) http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Zhang, Weiping 1964- Lectures on Chern-Weil theory and Witten deformations Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd Chern-Klasse (DE-588)4306750-5 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd
subject_GND	(DE-588)4197103-6 (DE-588)4306750-5 (DE-588)4174969-8
title	Lectures on Chern-Weil theory and Witten deformations
title_auth	Lectures on Chern-Weil theory and Witten deformations
title_exact_search	Lectures on Chern-Weil theory and Witten deformations
title_full	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_fullStr	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_full_unstemmed	Lectures on Chern-Weil theory and Witten deformations Weiping Zhang
title_short	Lectures on Chern-Weil theory and Witten deformations
title_sort	lectures on chern weil theory and witten deformations
topic	Chern classes Index theorems Complexes Morse-Theorie (DE-588)4197103-6 gnd Chern-Klasse (DE-588)4306750-5 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd
topic_facet	Chern classes Index theorems Complexes Morse-Theorie Chern-Klasse Poincaré-Indexmethode
url	http://www.worldscientific.com/worldscibooks/10.1142/4756#t=toc
work_keys_str_mv	AT zhangweiping lecturesonchernweiltheoryandwittendeformations

Verfügbarkeit

MARC

Datensatz im Suchindex

Ähnliche Einträge