Odd order group actions and Witt classification of innerproducts:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
1977
|
| Schriftenreihe: | Lecture notes in mathematics
625 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 202 Seiten |
| ISBN: | 3540085289 0387085289 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002252298 | ||
| 003 | DE-604 | ||
| 005 | 20241004 | ||
| 007 | t | ||
| 008 | 890928s1977 |||| 00||| eng d | ||
| 020 | |a 3540085289 |9 3-540-08528-9 | ||
| 020 | |a 0387085289 |9 0-387-08528-9 | ||
| 035 | |a (OCoLC)721685398 | ||
| 035 | |a (DE-599)BVBBV002252298 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-473 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-634 |a DE-83 |a DE-188 |a DE-11 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 515.7/3 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 57R85 |2 msc/1973 | ||
| 084 | |a 57S10 |2 msc/1973 | ||
| 100 | 1 | |a Alexander, J. P. |d 1945- |0 (DE-588)1156053242 |4 aut | |
| 245 | 1 | 0 | |a Odd order group actions and Witt classification of innerproducts |c J. P. Alexander ; P. E. Conner ; G. C. Hamrick |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1977 | |
| 300 | |a 202 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 625 | |
| 650 | 4 | |a Cobordismes, Théorie des | |
| 650 | 4 | |a Groupes topologiques de transformation | |
| 650 | 4 | |a Homéomorphismes | |
| 650 | 4 | |a Cobordism theory | |
| 650 | 4 | |a Group actions (Mathematics) | |
| 650 | 4 | |a Homeomorphisms | |
| 650 | 4 | |a Topological transformation groups | |
| 650 | 0 | 7 | |a Skalarprodukt |0 (DE-588)4181619-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Skalarprodukt |0 (DE-588)4181619-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Conner, Pierre E. |d 1932- |0 (DE-588)172024633 |4 aut | |
| 700 | 1 | |a Hamrick, Gary C. |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-540-36974-5 |
| 830 | 0 | |a Lecture notes in mathematics |v 625 |w (DE-604)BV000676446 |9 625 | |
| 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=001480022&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001480022 | |
| 980 | 4 | |a (DE-12)AK360204 | |
| 980 | 4 | |a (DE-12)AK04450397 | |
| 980 | 4 | |a (DE-12)AK09050548 | |
Datensatz im Suchindex
| _version_ | 1811984661866348544 |
|---|---|
| adam_text |
Introduction 1
Chapter I: Algebraic Preliminaries 6
1. The Witt group H^CD.S) 6
2. Commutative algebras over a field 16
3. Tors ion forms 23
4. An exact sequence 27
5. The Atiyah-Bott homomorphism 30
Chapter II: Smooth Actions of C on Even Dimensional Manifolds 33
1. Algebraic preliminaries ,. # t 33
2. Periodic maps 42
3. The spectral sequence associated to the equivariant
cohomology of M 45
4. Computation of q(T,M) in terms of local data 54
Chapter III; Cyclotomic Number Fields 64
1. Hermitian forms over a cyclotomic field 64
2. Hermitian forms over cyclotomic Integers 73
3. The different over Q 81
4. Coupling invariants 84
5. A little more algebra 87
6. Computing W^CZ,^) 89
Chapter IV: W. (Q,C ) and Dress Induction 93
* n
1. The Grothendieck group of representations 93
2. The characteristic polynomial of an isometry 104
3. Invariants detecting torsion in Wjk(Q,Cn) 112
4. W^(Z,n) and Dress' Induction Theorem 127
Chapter V: Torsion Signature Theorem 135
1. Induction and restriction in H (C2;GR(F ,Cn)) 135
2. The inductive step 141
3. Differentiable actions of C ,n odd 144
n
4. Example 151
Chapter VI: Metabolic and Hyperbolic Forms 158
1. Met^N) 159
2. Functorial properties 165
3. Direct sums 169
4. Hyperbolic forms 172
5. Metabolic,even forms on projectlve modules 174
6. Units in Z[C fe] 179
P
7 ¦ The ideal class group 186
8. Type II innerproducts 192
9. Relation to surgery obstruction group 196
References 198
Symbols 201 |
| any_adam_object | 1 |
| author | Alexander, J. P. 1945- Conner, Pierre E. 1932- Hamrick, Gary C. |
| author_GND | (DE-588)1156053242 (DE-588)172024633 |
| author_facet | Alexander, J. P. 1945- Conner, Pierre E. 1932- Hamrick, Gary C. |
| author_role | aut aut aut |
| author_sort | Alexander, J. P. 1945- |
| author_variant | j p a jp jpa p e c pe pec g c h gc gch |
| building | Verbundindex |
| bvnumber | BV002252298 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)721685398 (DE-599)BVBBV002252298 |
| dewey-full | 515.7/3 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/3 510 |
| dewey-search | 515.7/3 510 |
| dewey-sort | 3515.7 13 |
| 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>00000nam a2200000 cb4500</leader><controlfield tag="001">BV002252298</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241004</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1977 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540085289</subfield><subfield code="9">3-540-08528-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387085289</subfield><subfield code="9">0-387-08528-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)721685398</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002252298</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7/3</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57R85</subfield><subfield code="2">msc/1973</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">57S10</subfield><subfield code="2">msc/1973</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Alexander, J. P.</subfield><subfield code="d">1945-</subfield><subfield code="0">(DE-588)1156053242</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Odd order group actions and Witt classification of innerproducts</subfield><subfield code="c">J. P. Alexander ; P. E. Conner ; G. C. Hamrick</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1977</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">202 Seiten</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">Lecture notes in mathematics</subfield><subfield code="v">625</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cobordismes, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Groupes topologiques de transformation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homéomorphismes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cobordism theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group actions (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homeomorphisms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological transformation groups</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Skalarprodukt</subfield><subfield code="0">(DE-588)4181619-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Skalarprodukt</subfield><subfield code="0">(DE-588)4181619-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Conner, Pierre E.</subfield><subfield code="d">1932-</subfield><subfield code="0">(DE-588)172024633</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hamrick, Gary C.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-540-36974-5</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">625</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">625</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=001480022&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001480022</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK360204</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK04450397</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK09050548</subfield></datafield></record></collection> |
| id | DE-604.BV002252298 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-04T12:00:33Z |
| institution | BVB |
| isbn | 3540085289 0387085289 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001480022 |
| oclc_num | 721685398 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 DE-11 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 DE-11 |
| physical | 202 Seiten |
| psigel | TUB-nveb |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Alexander, J. P. 1945- (DE-588)1156053242 aut Odd order group actions and Witt classification of innerproducts J. P. Alexander ; P. E. Conner ; G. C. Hamrick Berlin, [u.a.] Springer 1977 202 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 625 Cobordismes, Théorie des Groupes topologiques de transformation Homéomorphismes Cobordism theory Group actions (Mathematics) Homeomorphisms Topological transformation groups Skalarprodukt (DE-588)4181619-5 gnd rswk-swf Skalarprodukt (DE-588)4181619-5 s DE-604 Conner, Pierre E. 1932- (DE-588)172024633 aut Hamrick, Gary C. aut Erscheint auch als Online-Ausgabe 978-3-540-36974-5 Lecture notes in mathematics 625 (DE-604)BV000676446 625 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480022&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alexander, J. P. 1945- Conner, Pierre E. 1932- Hamrick, Gary C. Odd order group actions and Witt classification of innerproducts Lecture notes in mathematics Cobordismes, Théorie des Groupes topologiques de transformation Homéomorphismes Cobordism theory Group actions (Mathematics) Homeomorphisms Topological transformation groups Skalarprodukt (DE-588)4181619-5 gnd |
| subject_GND | (DE-588)4181619-5 |
| title | Odd order group actions and Witt classification of innerproducts |
| title_auth | Odd order group actions and Witt classification of innerproducts |
| title_exact_search | Odd order group actions and Witt classification of innerproducts |
| title_full | Odd order group actions and Witt classification of innerproducts J. P. Alexander ; P. E. Conner ; G. C. Hamrick |
| title_fullStr | Odd order group actions and Witt classification of innerproducts J. P. Alexander ; P. E. Conner ; G. C. Hamrick |
| title_full_unstemmed | Odd order group actions and Witt classification of innerproducts J. P. Alexander ; P. E. Conner ; G. C. Hamrick |
| title_short | Odd order group actions and Witt classification of innerproducts |
| title_sort | odd order group actions and witt classification of innerproducts |
| topic | Cobordismes, Théorie des Groupes topologiques de transformation Homéomorphismes Cobordism theory Group actions (Mathematics) Homeomorphisms Topological transformation groups Skalarprodukt (DE-588)4181619-5 gnd |
| topic_facet | Cobordismes, Théorie des Groupes topologiques de transformation Homéomorphismes Cobordism theory Group actions (Mathematics) Homeomorphisms Topological transformation groups Skalarprodukt |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001480022&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT alexanderjp oddordergroupactionsandwittclassificationofinnerproducts AT connerpierree oddordergroupactionsandwittclassificationofinnerproducts AT hamrickgaryc oddordergroupactionsandwittclassificationofinnerproducts |