Verfügbarkeit: High dimensional knot theory

High dimensional knot theory: algebraic surgery in codimension 2

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Ranicki, Andrew 1948-2018 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 1998
Schriftenreihe:	Springer monographs in mathematics
Schlagworte:	Chirurgie (Topologie) Noeuds, Théorie des Plongements (Mathématiques) Embeddings (Mathematics) Knot theory Surgery (Topology) Knotentheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XXXVI, 646 S. graph. Darst.
ISBN:	3540633898

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV012068225
003	DE-604
005	20090916
007	t
008	980714s1998 gw d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 3540633898 \|9 3-540-63389-8
035			\|a (OCoLC)39189934
035			\|a (DE-599)BVBBV012068225
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-355 \|a DE-739 \|a DE-384 \|a DE-703 \|a DE-824 \|a DE-634 \|a DE-19 \|a DE-11
050		0	\|a QA612.2
082	0		\|a 514/.224 \|2 21
084			\|a SK 300 \|0 (DE-625)143230: \|2 rvk
100	1		\|a Ranicki, Andrew \|d 1948-2018 \|e Verfasser \|0 (DE-588)120140500 \|4 aut
245	1	0	\|a High dimensional knot theory \|b algebraic surgery in codimension 2 \|c Andrew Ranicki. With an appendix by Elmar Winkelnkemper
246	1	3	\|a High-dimensional knot theory
264		1	\|a Berlin [u.a.] \|b Springer \|c 1998
300			\|a XXXVI, 646 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Springer monographs in mathematics
650		7	\|a Chirurgie (Topologie) \|2 ram
650		7	\|a Noeuds, Théorie des \|2 ram
650		7	\|a Plongements (Mathématiques) \|2 ram
650		4	\|a Embeddings (Mathematics)
650		4	\|a Knot theory
650		4	\|a Surgery (Topology)
650	0	7	\|a Knotentheorie \|0 (DE-588)4164318-5 \|2 gnd \|9 rswk-swf
689	0	0	\|a Knotentheorie \|0 (DE-588)4164318-5 \|D s
689	0		\|5 DE-604
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-008169205

Datensatz im Suchindex

_version_	1804126667647483904
adam_text	Table of Contents Preface VII Introduction XV Knot theory high and low Knotty but nice Why 2? The fundamental group Local flatness Polynomials Seifert surfaces Fibred knots and open books Knot cobordism Simple knots Surgery theory Algebraic transversality The topological invariance of rational Pontrjagin classes Localization Algebraic K and L theory invariants of knots Codimension q surgery Fredholm localization Structure Part One Algebraic if theory 1. Finite structures 3 1A. The Wall finiteness obstruction 3 IB. Whitehead torsion 5 1C. The mapping torus 8 2. Geometric bands 11 3. Algebraic bands 15 4 Localization and completion in if theory 19 4A. Commutative localization 20 4B. The algebraic if theory localization exact sequence 21 5. if theory of polynomial extensions 27 6. if theory of formal power series 41 7. Algebraic transversality 47 8. Finite domination and Novikov homology 57 X Table of Contents 9. Noncommutative localization 71 10. Endomorphism if theory 79 10A. The endomorphism category 80 10B. The Fredholm localizations J?+14[z], Q+lA[z] 82 IOC. The 4 contractible localization II~lA[z, z 1] 88 11. The characteristic polynomial 97 12. Primary i£ theory 105 13. Automorphism if theory 119 13A. The Fredholm localization n~lA[z, z 1] 120 13B. The automorphism category 125 14. Witt vectors 135 15. The fibering obstruction 151 16. Reidemeister torsion 159 17. Alexander polynomials 165 18. if theory of Dedekind rings 177 19. iiT theory of function fields 185 Part Two Algebraic L theory 20. Algebraic Poincare complexes 205 20A. L groups 205 20B. P groups 215 20C. Thickenings, unions and triads 217 21. Codimension q surgery 225 21A. Surgery on submanifolds 225 21B. The splitting obstruction 227 22. Codimension 2 surgery 233 22A. Characteristic submanifolds 233 22B. The antiquadratic construction 235 22C. Spines 242 22D. The homology splitting obstruction 251 23. Manifold and geometric Poincare bordism of X x Sx .... 257 Table of Contents XI 24. L theory of Laurent extensions 261 25. Localization and completion in £ theory 267 26. Asymmetric L theory 287 27. Framed codimension 2 surgery 303 27A. Codimension 1 Seifert surfaces 303 27B. Codimension 2 Seifert surfaces 308 27C. Branched cyclic covers 314 27D. Framed spines 318 28. Automorphism X theory 321 28A. Algebraic Poincare bands 322 28B. Duality in automorphism K iheory 324 28C. Bordism of automorphisms of manifolds 328 28D. The automorphism signature 330 28E. The trace map z 339 28F. Automorphism and asymmetric L theory 343 29. Open books 351 29A. Geometric open books 352 29B. The asymmetric signature 359 30. Twisted doubles 369 30A. Geometric twisted doubles 371 30B. Algebraic twisted doubles 378 30C. Algebraic open books 385 30D. Twisted double L theory 388 31. Isometric L theory 397 31A. Isometric structures 397 31B. The trace map s 410 32. Seifert and Blanchfield complexes 415 32A. Seifert complexes 417 32B. Blanchfield complexes 419 32C. Fibred Seifert and Blanchfield complexes 425 32D. Based Seifert and Blanchfield complexes 429 32E. Minimal Seifert complexes 435 33. Knot theory 443 33A. The Seifert complex of an n knot 443 33B. Fibred n knots 445 33C. The Blanchfield complex of an n knot 446 XII Table of Contents 33D. Simple n knots 448 33E. The Alexander polynomials of an n knot 450 34. Endomorphism L theory 453 34A. Endometric structures 454 34B. The trace map x 463 35. Primary // theory 467 35A. Endomorphism L theory 468 35B. Isometric L theory 472 35C. Automorphism L theory 474 35D. Asymmetric L theory 477 36. Almost symmetric L theory 485 37. L theory of fields and rational localization 491 37A. Fields 491 37B. Rational localization 495 38. L theory of Dedekind rings 499 39. L theory of function fields 511 39A. L theory of F(x) (x = x) 512 39B. L theory of F(s) (s = 1 s) 524 39C. L theory of F(z) (z = z 1) 532 39D. The asymmetric L theory of F 543 39E. The automorphism L theory of F 550 40. The multisignature 561 40A. Isometric multisignature 563 40B. Asymmetric multisignature 565 40C. The w signatures 567 40D. Automorphism multisignature 573 41. Coupling invariants 583 41A. Endomorphism L theory 584 41B. Isometric L theory 594 41C. Automorphism L theory 599 42. The knot cobordism groups 607 Table of Contents XIII Appendix The history and applications of open books (by H.E.Winkelnkemper) 615 References 627 Index 639
any_adam_object	1
author	Ranicki, Andrew 1948-2018
author_GND	(DE-588)120140500
author_facet	Ranicki, Andrew 1948-2018
author_role	aut
author_sort	Ranicki, Andrew 1948-2018
author_variant	a r ar
building	Verbundindex
bvnumber	BV012068225
callnumber-first	Q - Science
callnumber-label	QA612
callnumber-raw	QA612.2
callnumber-search	QA612.2
callnumber-sort	QA 3612.2
callnumber-subject	QA - Mathematics
classification_rvk	SK 300
ctrlnum	(OCoLC)39189934 (DE-599)BVBBV012068225
dewey-full	514/.224
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	514 - Topology
dewey-raw	514/.224
dewey-search	514/.224
dewey-sort	3514 3224
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01702nam a2200445 c 4500</leader><controlfield tag="001">BV012068225</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090916 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980714s1998 gw d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540633898</subfield><subfield code="9">3-540-63389-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)39189934</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012068225</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA612.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.224</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ranicki, Andrew</subfield><subfield code="d">1948-2018</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120140500</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">High dimensional knot theory</subfield><subfield code="b">algebraic surgery in codimension 2</subfield><subfield code="c">Andrew Ranicki. With an appendix by Elmar Winkelnkemper</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">High-dimensional knot theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXXVI, 646 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer monographs in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Chirurgie (Topologie)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Noeuds, Théorie des</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Plongements (Mathématiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Embeddings (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Knot theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Surgery (Topology)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008169205</subfield></datafield></record></collection>
id	DE-604.BV012068225
illustrated	Illustrated
indexdate	2024-07-09T18:21:06Z
institution	BVB
isbn	3540633898
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008169205
oclc_num	39189934
open_access_boolean
owner	DE-355 DE-BY-UBR DE-739 DE-384 DE-703 DE-824 DE-634 DE-19 DE-BY-UBM DE-11
owner_facet	DE-355 DE-BY-UBR DE-739 DE-384 DE-703 DE-824 DE-634 DE-19 DE-BY-UBM DE-11
physical	XXXVI, 646 S. graph. Darst.
publishDate	1998
publishDateSearch	1998
publishDateSort	1998
publisher	Springer
record_format	marc
series2	Springer monographs in mathematics
spelling	Ranicki, Andrew 1948-2018 Verfasser (DE-588)120140500 aut High dimensional knot theory algebraic surgery in codimension 2 Andrew Ranicki. With an appendix by Elmar Winkelnkemper High-dimensional knot theory Berlin [u.a.] Springer 1998 XXXVI, 646 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Chirurgie (Topologie) ram Noeuds, Théorie des ram Plongements (Mathématiques) ram Embeddings (Mathematics) Knot theory Surgery (Topology) Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Ranicki, Andrew 1948-2018 High dimensional knot theory algebraic surgery in codimension 2 Chirurgie (Topologie) ram Noeuds, Théorie des ram Plongements (Mathématiques) ram Embeddings (Mathematics) Knot theory Surgery (Topology) Knotentheorie (DE-588)4164318-5 gnd
subject_GND	(DE-588)4164318-5
title	High dimensional knot theory algebraic surgery in codimension 2
title_alt	High-dimensional knot theory
title_auth	High dimensional knot theory algebraic surgery in codimension 2
title_exact_search	High dimensional knot theory algebraic surgery in codimension 2
title_full	High dimensional knot theory algebraic surgery in codimension 2 Andrew Ranicki. With an appendix by Elmar Winkelnkemper
title_fullStr	High dimensional knot theory algebraic surgery in codimension 2 Andrew Ranicki. With an appendix by Elmar Winkelnkemper
title_full_unstemmed	High dimensional knot theory algebraic surgery in codimension 2 Andrew Ranicki. With an appendix by Elmar Winkelnkemper
title_short	High dimensional knot theory
title_sort	high dimensional knot theory algebraic surgery in codimension 2
title_sub	algebraic surgery in codimension 2
topic	Chirurgie (Topologie) ram Noeuds, Théorie des ram Plongements (Mathématiques) ram Embeddings (Mathematics) Knot theory Surgery (Topology) Knotentheorie (DE-588)4164318-5 gnd
topic_facet	Chirurgie (Topologie) Noeuds, Théorie des Plongements (Mathématiques) Embeddings (Mathematics) Knot theory Surgery (Topology) Knotentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008169205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ranickiandrew highdimensionalknottheoryalgebraicsurgeryincodimension2 AT ranickiandrew highdimensionalknottheory

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Inhaltsverzeichnis

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge