Coarse cohomology and index theory on complete Riemannian manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1993
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
497 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 104, Number 497 (fourth of 6 numbers) |
| Beschreibung: | IX, 90 S. |
| ISBN: | 0821825593 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008166448 | ||
| 003 | DE-604 | ||
| 005 | 20230614 | ||
| 007 | t | ||
| 008 | 930811s1993 |||| 00||| eng d | ||
| 020 | |a 0821825593 |9 0-8218-2559-3 | ||
| 035 | |a (OCoLC)27897018 | ||
| 035 | |a (DE-599)BVBBV008166448 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-12 |a DE-739 |a DE-29T |a DE-384 |a DE-91G |a DE-824 |a DE-19 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 516.3/73 |2 20 | |
| 082 | 0 | |a 510 |2 20 | |
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 084 | |a MAT 537f |2 stub | ||
| 084 | |a MAT 552f |2 stub | ||
| 100 | 1 | |a Roe, John |d 1959- |e Verfasser |0 (DE-588)172334810 |4 aut | |
| 245 | 1 | 0 | |a Coarse cohomology and index theory on complete Riemannian manifolds |c John Roe |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1993 | |
| 300 | |a IX, 90 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 497 | |
| 500 | |a Volume 104, Number 497 (fourth of 6 numbers) | ||
| 650 | 7 | |a Cohomologia |2 larpcal | |
| 650 | 7 | |a Geometria Diferencial |2 larpcal | |
| 650 | 7 | |a Riemann-vlakken |2 gtt | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Index theory (Mathematics) | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 0 | 7 | |a Indextheorie |0 (DE-588)4161489-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Homologietheorie |0 (DE-588)4141714-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Homologietheorie |0 (DE-588)4141714-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Indextheorie |0 (DE-588)4161489-6 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 497 |w (DE-604)BV008000141 |9 497 | |
| 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=005388512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005388512 | ||
Datensatz im Suchindex
| _version_ | 1804122549521481728 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Basic properties of coarse cohomology 7
2.1. The uniformly homologous categories 7
2.2. Definition of coarse theory 9
2.3. Examples 12
2.4. Product structure on coarse theory 17
Chapter 3. Computation of coarse cohomology 21
3.1. Review of Cech theory 21
3.2. The main theorem 24
3.3. Alternative definitions of coarse theory 30
3.4. When is c an isomorphism? 31
3.5. Bornotopy 33
3.6. Examples 34
Chapter 4. Cyclic cohomology and index theory 39
4.1. Operator algebras 39
4.2. The Connes character map 42
4.3. Index theory 44
4.4. The computation for R2m 49
4.5. The general index theorem (even case) 51
4.6. The odd case 52
Chapter 5. Coarse cohomology and coinpactification 57
5.1. Higson s corona space 57
5.2. K.(Bh) and K.(vM) 60
5.3. The transgression map 63
5.4. Relation to index theory 66
Chapter 6. Examples and Applications 69
6.1. Index theorem for partitioned manifolds 69
6.2. Ultraspherical manifolds 70
vii
viii CONTENTS
6.3. Application to positive scalar curvature 74
6.4. Application to Kahler manifolds 76
6.5. Applications to the signature operator 78
6.6. Relation with the Novikov conjecture 81
References 87
|
| any_adam_object | 1 |
| author | Roe, John 1959- |
| author_GND | (DE-588)172334810 |
| author_facet | Roe, John 1959- |
| author_role | aut |
| author_sort | Roe, John 1959- |
| author_variant | j r jr |
| building | Verbundindex |
| bvnumber | BV008166448 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 537f MAT 552f |
| ctrlnum | (OCoLC)27897018 (DE-599)BVBBV008166448 |
| dewey-full | 516.3/73 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516.3/73 510 |
| dewey-search | 516.3/73 510 |
| dewey-sort | 3516.3 273 |
| 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>02191nam a2200553 cb4500</leader><controlfield tag="001">BV008166448</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230614 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930811s1993 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821825593</subfield><subfield code="9">0-8218-2559-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)27897018</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008166448</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="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/73</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 552f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Roe, John</subfield><subfield code="d">1959-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172334810</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Coarse cohomology and index theory on complete Riemannian manifolds</subfield><subfield code="c">John Roe</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 90 S.</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="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">497</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 104, Number 497 (fourth of 6 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Cohomologia</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometria Diferencial</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Riemann-vlakken</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homology theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Index theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Riemannian manifolds</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Homologietheorie</subfield><subfield code="0">(DE-588)4141714-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Homologietheorie</subfield><subfield code="0">(DE-588)4141714-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">497</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">497</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=005388512&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:BVB01-005388512</subfield></datafield></record></collection> |
| id | DE-604.BV008166448 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:15:39Z |
| institution | BVB |
| isbn | 0821825593 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005388512 |
| oclc_num | 27897018 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-739 DE-29T DE-384 DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-739 DE-29T DE-384 DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| physical | IX, 90 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Roe, John 1959- Verfasser (DE-588)172334810 aut Coarse cohomology and index theory on complete Riemannian manifolds John Roe Providence, RI American Math. Soc. 1993 IX, 90 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 497 Volume 104, Number 497 (fourth of 6 numbers) Cohomologia larpcal Geometria Diferencial larpcal Riemann-vlakken gtt Homology theory Index theory (Mathematics) Riemannian manifolds Indextheorie (DE-588)4161489-6 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 s DE-604 Homologietheorie (DE-588)4141714-8 s Indextheorie (DE-588)4161489-6 s American Mathematical Society: Memoirs of the American Mathematical Society 497 (DE-604)BV008000141 497 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Roe, John 1959- Coarse cohomology and index theory on complete Riemannian manifolds American Mathematical Society: Memoirs of the American Mathematical Society Cohomologia larpcal Geometria Diferencial larpcal Riemann-vlakken gtt Homology theory Index theory (Mathematics) Riemannian manifolds Indextheorie (DE-588)4161489-6 gnd Homologietheorie (DE-588)4141714-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| subject_GND | (DE-588)4161489-6 (DE-588)4141714-8 (DE-588)4128295-4 |
| title | Coarse cohomology and index theory on complete Riemannian manifolds |
| title_auth | Coarse cohomology and index theory on complete Riemannian manifolds |
| title_exact_search | Coarse cohomology and index theory on complete Riemannian manifolds |
| title_full | Coarse cohomology and index theory on complete Riemannian manifolds John Roe |
| title_fullStr | Coarse cohomology and index theory on complete Riemannian manifolds John Roe |
| title_full_unstemmed | Coarse cohomology and index theory on complete Riemannian manifolds John Roe |
| title_short | Coarse cohomology and index theory on complete Riemannian manifolds |
| title_sort | coarse cohomology and index theory on complete riemannian manifolds |
| topic | Cohomologia larpcal Geometria Diferencial larpcal Riemann-vlakken gtt Homology theory Index theory (Mathematics) Riemannian manifolds Indextheorie (DE-588)4161489-6 gnd Homologietheorie (DE-588)4141714-8 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| topic_facet | Cohomologia Geometria Diferencial Riemann-vlakken Homology theory Index theory (Mathematics) Riemannian manifolds Indextheorie Homologietheorie Riemannscher Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388512&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT roejohn coarsecohomologyandindextheoryoncompleteriemannianmanifolds |