Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology
Raif Rustamov
TL;DR
This paper establishes a surgery formula for the renormalized Euler characteristic in Heegaard Floer homology, linking it to Seiberg-Witten invariants for rational homology three-spheres, advancing the understanding of 3-manifold invariants.
Contribution
It provides a new surgery formula for the renormalized Euler characteristic, connecting Heegaard Floer homology with Seiberg-Witten invariants for rational homology three-spheres.
Findings
Proved a surgery formula for the Euler characteristic.
Established equality with Seiberg-Witten invariants for rational homology spheres.
Enhanced the computational tools for 3-manifold invariants.
Abstract
We prove a surgery formula for the renormalized Euler characteristic of Ozsvath and Szabo. Equality between this Euler cahracteristic and the Seiberg-Witten invariant follows for rational homology three-spheres.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics