Signatures, Heegaard Floer correction terms and quasi–alternating links
| Autor: | Brendan Owens, Paolo Lisca |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Applied Mathematics
General Mathematics COVERS Geometric Topology (math.GT) Spin structure 4-MANIFOLDS INVARIANTS Mathematics::Geometric Topology Term (time) Combinatorics Mathematics - Geometric Topology 57M25 57M27 (Primary) 57Q60 (Secondary) FOS: Mathematics Cover (algebra) Signature (topology) Link (knot theory) Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 143:907-914 |
| ISSN: | 1088-6826 0002-9939 |
| Popis: | Turaev showed that there is a well-defined map assigning to an oriented link L in the three-sphere a Spin structure t_0 on Sigma(L), the 2-fold cover of S^3 branched along L. We prove, generalizing results of Manolescu-Owens and Donald-Owens, that for an oriented quasi-alternating link L the signature of L equals minus four times the Heegaard Floer correction term of (Sigma(L), t_0). V2: Improved exposition incorporating referee's suggestions; 3 figures, 6 pages. Accepted for publication by the Proceedings of the American Mathematical Society |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|