A combinatorial approach to surgery formulas in Heegaard Floer homology
Eaman Eftekhary
TL;DR
This paper presents a combinatorial method to efficiently compute the hat Heegaard Floer homology of three-manifolds resulting from rational surgeries on knots within homology spheres.
Contribution
It introduces a simplified combinatorial formula for calculating Heegaard Floer homology after rational surgery, improving computational accessibility.
Findings
Provides a practical formula for rational surgery calculations
Simplifies the computation of Heegaard Floer homology
Enhances understanding of three-manifold invariants
Abstract
Using the combinatorial approach to Heegaard Floer homology we obtain a relatively easy formula for computation of hat Heegaard Floer homology for the three-manifold obtained by rational surgery on a knot K inside a homology sphere Y.
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