A non-abelian Seiberg-Witten invariant for integral homology 3-spheres

被引：3

|

作者：

Lim, YH ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

GEOMETRY & TOPOLOGY | 2003年 / 7卷

关键词：

Seiberg-Witten; 3-manifolds;

D O I：

10.2140/gt.2003.7.965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new diffeomorphism invariant of integral homology 3-spheres is defined using a non- abelian "quaternionic" version of the Seiberg-Witten equations.

引用

下载

收藏

页码：965 / 999

页数：35

相关论文

共 50 条

[21] A NEW INVARIANT FOR HOMOLOGY 3-SPHERES
MARIN, A
ASTERISQUE, 1988, (161-62) : 151 - 164
[22] Variants of equivariant Seiberg-Witten Floer homology
Marcolli, M
Wang, BL
SPECTRAL GEOMETRY OF MANIFOLDS WITH BOUNDARY AND DECOMPOSITION OF MANIFOLDS, 2005, 366 : 225 - 238
[23] SEIBERG-WITTEN FLOER HOMOTOPY CONTACT INVARIANT
Iida, Nobuo
Taniguchi, Masaki
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (04) : 505 - 558
[24] Surgery, Yamabe invariant, and Seiberg-Witten theory
Sung, Chanyoung
JOURNAL OF GEOMETRY AND PHYSICS, 2009, 59 (02) : 246 - 255
[25] Some computations with Seiberg-Witten invariant actions
Cornalba, L
MODERN PHYSICS LETTERS A, 2001, 16 (4-6) : 227 - 233
[26] A splitting theorem for the Seiberg-Witten invariant of a homology S1 x S3
Lin, Jianfeng
Ruberman, Daniel
Saveliev, Nikolai
GEOMETRY & TOPOLOGY, 2018, 22 (05) : 2865 - 2942
[27] CASSON INVARIANT OF SEIFERT HOMOLOGY 3-SPHERES
FUKUHARA, S
MATSUMOTO, Y
SAKAMOTO, K
MATHEMATISCHE ANNALEN, 1990, 287 (02) : 275 - 285
[28] A polynomial invariant of rational homology 3-spheres
Ohtsuki, T
INVENTIONES MATHEMATICAE, 1996, 123 (02) : 241 - 257
[29] Mod 2 Seiberg-Witten invariants of homology tori
Ruberman, D
Strle, S
MATHEMATICAL RESEARCH LETTERS, 2000, 7 (5-6) : 789 - 799
[30] A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres
Kazuo Habiro
Inventiones mathematicae, 2008, 171 : 1 - 81

← 1 2 3 4 5 →