Lectures on Chern-Weil theory and Witten deformations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey, N.J.
World Scientific
[2001]
|
| Series: | Nankai tracts in mathematics
Vol. 4 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009687608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xi, 117 Seiten |
| ISBN: | 9810246854 9810246862 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV014137942 | ||
| 003 | DE-604 | ||
| 005 | 20240124 | ||
| 007 | t| | ||
| 008 | 020206s2001 xx |||| 00||| eng d | ||
| 020 | |a 9810246854 |c paperback |9 981-02-4685-4 | ||
| 020 | |a 9810246862 |9 981-02-4686-2 | ||
| 035 | |a (OCoLC)247954818 | ||
| 035 | |a (DE-599)BVBBV014137942 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-384 |a DE-355 |a DE-824 |a DE-83 |a DE-11 |a DE-188 | ||
| 082 | 0 | |a 514.72 | |
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a 57Rxx |2 msc | ||
| 100 | 1 | |a Zhang, Weiping |e Verfasser |0 (DE-588)105577016X |4 aut | |
| 245 | 1 | 0 | |a Lectures on Chern-Weil theory and Witten deformations |c Weiping Zhang (Nankai Institute of Mathematics Tianjin, P R China) |
| 264 | 1 | |a New Jersey, N.J. |b World Scientific |c [2001] | |
| 264 | 4 | |c © 2001 | |
| 300 | |a xi, 117 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Nankai tracts in mathematics |v Vol. 4 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 0 | 7 | |a Morse-Theorie |0 (DE-588)4197103-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Poincaré-Indexmethode |0 (DE-588)4174969-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Chern-Klasse |0 (DE-588)4306750-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Chern-Klasse |0 (DE-588)4306750-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Poincaré-Indexmethode |0 (DE-588)4174969-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Morse-Theorie |0 (DE-588)4197103-6 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Nankai tracts in mathematics |v Vol. 4 |w (DE-604)BV014017593 |9 4 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009687608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009687608 | |
Record in the Search Index
| _version_ | 1819376948117241856 |
|---|---|
| adam_text | NANKAI TRACTS IN MATHEMATICS - VOL. 4 LECTURES ON CHERN-WEIL THEORY AND
WITTEN DEFORMATIONS WEIPING ZHANG NANKAI INSTITUTE OF MATHEMATICS
TIANJIN, PR CHINA WORLD SCIENTIFIC NEW JERSEY LONDON * SINGAPORE * HONG
KONG CONTENTS PREFACE VII CHAPTER 1 CHERN-WEIL THEORY FOR CHARACTERISTIC
CLASSES 1 1.1 REVIEW OF THE DE RHAM COHOMOLOGY THEORY 1 1.2 CONNECTIONS
ON VECTOR BUNDLES 3 1.3 THE CURVATURE OF A CONNECTION 4 1.4 CHERN-WEIL
THEOREM 6 1.5 CHARACTERISTIC FORMS, CLASSES AND NUMBERS 8 1.6 SOME
EXAMPLES 10 1.6.1 CHERN FORMS AND CLASSES 10 1.6.2 PONTRJAGIN CLASSES
FOR REAL VECTOR BUNDLES 11 1.6.3 HIRZEBRUCH S L-CLASS AND A-CLASS 12
1.6.4 IF-GROUPS AND THE CHERN CHARACTER 14 1.6.5 THE CHERN-SIMONS
TRANSGRESSED FORM 16 1.7 BOTT VANISHING THEOREM FOR FOLIATIONS 17 1.7.1
FOLIATIONS AND THE BOTT VANISHING THEOREM 18 1.7.2 ADIABATIC LIMIT AND
THE BOTT CONNECTION 20 1.8 CHERN-WEIL THEORY IN ODD DIMENSION 22 1.9
REFERENCES 26 CHAPTER 2 BOTT AND DUISTERMAAT-HECKMAN FORMULAS 29 2.1
BERLINE-VERGNE LOCALIZATION FORMULA 29 2.2 BOTT RESIDUE FORMULA 35 2.3
DUISTERMAAT-HECKMAN FORMULA 37 2.4 BOTT S ORIGINAL IDEA 38 IX X CONTENTS
2.5 REFERENCES 39 CHAPTER 3 GAUSS-BONNET-CHERN THEOREM 41 3.1 A TOY
MODEL AND THE BEREZIN INTEGRAL 41 3 .2 MATHAI-QUILLEN S THORN FORM 43
3.3 A TRANSGRESSION FORMULA 46 3.4 PROOF OF THE GAUSS-BONNET-CHERN
THEOREM 47 3.5 SOME REMARKS 50 3.6 CHERN S ORIGINAL PROOF 51 3.7
REFERENCES 54 CHAPTER 4 POINCARE-HOPF INDEX FORMULA: AN ANALYTIC PROOF
57 4.1 REVIEW OF HODGE THEOREM 57 4.2 POINCARE-HOPF INDEX FORMULA 60 4.3
CLIFFORD ACTIONS AND THE WITTEN DEFORMATION 61 4.4 AN ESTIMATE OUTSIDE
OF UPGJ5 ERO (V)[/P 63 4.5 HARMONIC OSCILLATORS ON EUCLIDEAN SPACES 64
4.6 A PROOF OF THE POINCARE-HOPF INDEX FORMULA 67 4.7 SOME ESTIMATES FOR
D T /S, 2 I 4 69 4.8 AN ALTERNATE ANALYTIC PROOF 73 4.9 REFERENCES
74 CHAPTER 5 MORSE INEQUALITIES: AN ANALYTIC PROOF 75 5.1 REVIEW OF
MORSE INEQUALITIES 75 5.2 WITTEN DEFORMATION 77 5.3 HODGE THEOREM FOR
(SL*(M),D T F) 78 5.4 BEHAVIOUR OF OJ NEAR THE CRITICAL POINTS OF / 79
5.5 PROOF OF MORSE INEQUALITIES 81 5.6 PROOF OF PROPOSITION 5.5 83 5.7
SOME REMARKS AND COMMENTS 88 5.8 REFERENCES 89 CHAPTER 6 THOM-SMALE AND
WITTEN COMPLEXES 93 6.1 THE THOM-SMALE COMPLEX 93 6.2 THE DE RHAM MAP
FOR THOM-SMALE COMPLEXES 95 6.3 WITTEN S INSTANTON COMPLEX AND THE MAP
ER 97 6.4 THE MAP P^RER 100 6.5 AN ANALYTIC PROOF OF THEOREM 6.4 102
CONTENTS XI 6.6 REFERENCES 102 CHAPTER 7 ATIYAH THEOREM ON KERVAIRE
SEMI-CHARACTERISTIC 105 7.1 KERVAIRE SEMI-CHARACTERISTIC 106 7.2
ATIYAH S ORIGINAL PROOF 107 7.3 A PROOF VIA WITTEN DEFORMATION 108 7.4 A
GENERIC COUNTING FORMULA FOR K(M) 112 7.5 NON-MULTIPLICATIVITY OF K(M)
113 7.6 REFERENCES 115 INDEX 117
|
| any_adam_object | 1 |
| author | Zhang, Weiping |
| author_GND | (DE-588)105577016X |
| author_facet | Zhang, Weiping |
| author_role | aut |
| author_sort | Zhang, Weiping |
| author_variant | w z wz |
| building | Verbundindex |
| bvnumber | BV014137942 |
| classification_rvk | SK 350 SK 370 |
| ctrlnum | (OCoLC)247954818 (DE-599)BVBBV014137942 |
| 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 | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01927nam a2200481 cb4500</leader><controlfield tag="001">BV014137942</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240124 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">020206s2001 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810246854</subfield><subfield code="c">paperback</subfield><subfield code="9">981-02-4685-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810246862</subfield><subfield code="9">981-02-4686-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247954818</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014137942</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-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.72</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="084" ind1=" " ind2=" "><subfield code="a">57Rxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhang, Weiping</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)105577016X</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 (Nankai Institute of Mathematics Tianjin, P R China)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey, N.J.</subfield><subfield code="b">World Scientific</subfield><subfield code="c">[2001]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xi, 117 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">Nankai tracts in mathematics</subfield><subfield code="v">Vol. 4</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</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">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="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="689" ind1="0" 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="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" 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="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Nankai tracts in mathematics</subfield><subfield code="v">Vol. 4</subfield><subfield code="w">(DE-604)BV014017593</subfield><subfield code="9">4</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=009687608&sequence=000001&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:BVB01-009687608</subfield></datafield></record></collection> |
| id | DE-604.BV014137942 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:59:54Z |
| institution | BVB |
| isbn | 9810246854 9810246862 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009687608 |
| oclc_num | 247954818 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-11 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-384 DE-355 DE-BY-UBR DE-824 DE-83 DE-11 DE-188 |
| physical | xi, 117 Seiten |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific |
| record_format | marc |
| series | Nankai tracts in mathematics |
| series2 | Nankai tracts in mathematics |
| spellingShingle | Zhang, Weiping Lectures on Chern-Weil theory and Witten deformations Nankai tracts in mathematics Morse-Theorie (DE-588)4197103-6 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd Chern-Klasse (DE-588)4306750-5 gnd |
| subject_GND | (DE-588)4197103-6 (DE-588)4174969-8 (DE-588)4306750-5 |
| 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 (Nankai Institute of Mathematics Tianjin, P R China) |
| title_fullStr | Lectures on Chern-Weil theory and Witten deformations Weiping Zhang (Nankai Institute of Mathematics Tianjin, P R China) |
| title_full_unstemmed | Lectures on Chern-Weil theory and Witten deformations Weiping Zhang (Nankai Institute of Mathematics Tianjin, P R China) |
| title_short | Lectures on Chern-Weil theory and Witten deformations |
| title_sort | lectures on chern weil theory and witten deformations |
| topic | Morse-Theorie (DE-588)4197103-6 gnd Poincaré-Indexmethode (DE-588)4174969-8 gnd Chern-Klasse (DE-588)4306750-5 gnd |
| topic_facet | Morse-Theorie Poincaré-Indexmethode Chern-Klasse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009687608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014017593 |
| work_keys_str_mv | AT zhangweiping lecturesonchernweiltheoryandwittendeformations |