Global surgery formula for the Casson-Walker invariant:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1996
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| Series: | Annals of mathematics studies
140 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 150 S. graph. Darst. |
| ISBN: | 0691021325 0691021333 |
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| 245 | 1 | 0 | |a Global surgery formula for the Casson-Walker invariant |c by Christine Lescop |
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Record in the Search Index
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| adam_text | GLOBAL SURGERY FORMULA FOR THE CASSON-WALKER INVARIANT BY CHRISTINE
LESCOP PRINCETON UNIVERSITY PRESS PRINCETON, NEW JERSEY 1996 TABLE OF
CONTENTS CHAPTER 1: INTRODUCTION AND STATEMENTS OF THE RESULTS 5 §1.1
INTRODUCTION §1.2 CONVENTIONS 8 §1.3 SURGERY PRESENTATIONS AND
ASSOCIATED FUNCTIONS 8 § 1.4 INTRODUCTION OF THE SURGERY FORMULA F 10
§1.5 STATEMENT OF THE THEOREM 13 §1.6 SKETCH OF THE PROOF OF THE THEOREM
AND ORGANIZATION OF THE BOOK 14 § 1.7 EQUIVALENT DEFINITIONS FOR F 18
CHAPTER 2: THE ALEXANDER SERIES OF A LINK IN A RATIONAL HOMOLOGY SPHERE
AND SOME OF ITS PROPERTIES 21 §2.1 THE BACKGROUND §2.2 A DEFINITION OF
THE ALEXANDER SERIES 22 §2.3 A LIST OF PROPERTIES FOR THE ALEXANDER
SERIES 24 §2.4 FUNCTIONS OF THE LINKING NUMBERS OF A LINK 27 §2.5 THE
FIRST TERMS OF THE ALEXANDER SERIES 30 CHAPTER 3: IN VARIANCE OF THE
SURGERY FORMULA UNDER A TWIST HOMEOMORPHISM 35 §3.1 INTRODUCTION §3.2
VARIATION OF THE DIFFERENT PIECES OF FM UNDER AN CO-TWIST: THE
STATEMENTS 36 §3.3 PROOFS OF 3.2.13 AND 3.2.16 40 §3.4 MORE UNKING
FUNCTIONS: SEMI-OPEN GRAPHS AND FUNCTIONS A 43 §3.5 VARIATION OF THE
^-COEFFICIENTS UNDER AN (O-TWIST 46 §3.6 PROOF OF 3.2.11 (VARIATION OF
THE PIECE CONTAINING THE ^-COEFFICIENTS UNDER THE OTWIST) 56 CHAPTER 4:
THE FORMULA FOR RATIONAL HOMOLOGY SPHERES §4.1 INTRODUCTION §4.2 SKETCH
OF THE PROOF OF PROPOSITION T2 §4.3 PROOF OF LEMMA 4.2.2 §4.4 PROOF OF
LEMMA 4.2.3 §4.5 PROOF OF LEMMA 4.2.5 §4.6 THE WALKER SURGERY FORMULA
SURGERIES STARTING FROM 60 60 63 65 73 76 4 CONTENTS §4.7 COMPARING T2
WITH THE WALKER SURGERY FORMULA 77 CHAPTER 5: THE INVARIANT X FOR
3-MANIFOIDS WITH NONZERO RANK 81 §5.1 INTRODUCTION §5.2 THE COEFFICIENTS
AJ OF HOMOLOGY UNLINKS IN RATIONAL HOMOLOGY SPHERES (AFTER HOSTE) 84
§5.3 COMPUTING X FOR MANIFOLDS WITH RANK AT LEAST 2 90 CHAPTER 6:
APPLICATIONS AND VARIANTS OF THE SURGERY FORMULA 9 5 §6.1 COMPUTING A,
FOR ALL ORIENTED SEIFERT FIBERED SPACES USING THE FORMULA §6.2 THE
FORMULA INVOLVING THE FIGURE-EIGHT LINKING 103 §6.3 CONGRUENCES AND
RELATIONS WITH THE ROHLIN INVARIANT 104 §6.4 THE SURGERY FORMULA IN
TERMS OF ONE-VARIABLE ALEXANDER POLYNOMIALS 112 APPENDIX: MORE ABOUT THE
ALEXANDER SERIES 117 §A.L INTRODUCTION §A.2 COMPLETE DEFINITION OF THE
REIDEMEISTER TORSION OF (N,O(N)) UP TO POSITIVE UNITS 122 § A.3 PROOF OF
THE SYMMETRY PROPERTY OF THE REIDEMEISTER TORSION 131 § A.4 VARIOUS
PROPERTIES OF THE REIDEMEISTER TORSION 137 § A.5 A SYSTEMATIC WAY OF
COMPUTING THE ALEXANDER POLYNOMIALS OF LINKS IN S^ 140 §A.6 RELATIONS
WITH ONE-VARIABLE ALEXANDER POLYNOMIALS 142 BIBLIOGRAPHY 147 INDEX 149
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:33Z |
| institution | BVB |
| isbn | 0691021325 0691021333 |
| language | English |
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| physical | 150 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Lescop, Christine Verfasser aut Global surgery formula for the Casson-Walker invariant by Christine Lescop Princeton, NJ Princeton Univ. Press 1996 150 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 140 Casson-Invariante (DE-588)4314105-5 gnd rswk-swf Casson-Invariante (DE-588)4314105-5 s DE-604 Annals of mathematics studies 140 (DE-604)BV000000991 140 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007191128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lescop, Christine Global surgery formula for the Casson-Walker invariant Annals of mathematics studies Casson-Invariante (DE-588)4314105-5 gnd |
| subject_GND | (DE-588)4314105-5 |
| title | Global surgery formula for the Casson-Walker invariant |
| title_auth | Global surgery formula for the Casson-Walker invariant |
| title_exact_search | Global surgery formula for the Casson-Walker invariant |
| title_full | Global surgery formula for the Casson-Walker invariant by Christine Lescop |
| title_fullStr | Global surgery formula for the Casson-Walker invariant by Christine Lescop |
| title_full_unstemmed | Global surgery formula for the Casson-Walker invariant by Christine Lescop |
| title_short | Global surgery formula for the Casson-Walker invariant |
| title_sort | global surgery formula for the casson walker invariant |
| topic | Casson-Invariante (DE-588)4314105-5 gnd |
| topic_facet | Casson-Invariante |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007191128&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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