Introduction to Combinatorial Torsions 论文
2001Birkhäuser Basel eBooks引用 281
Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic TopologyComputability, Logic, AI Algorithms
摘要
Witten invariant 8W M of M. They proved that the Alexander polynomial of M can be explicitly computed from 8W M. Their proof uses the theory of sign-refined torsions mentioned above.Using the results of Meng and Taubes and capitalizing on the theory of Euler structures, I showed that the Seiberg-Witten invariant 8WM is equivalent (at least up to sign) to the refined maximal abelian torsion of M. This yields a combinatorial computation of the