Combinatorial proof of Maslov index formula in Heegaard Floer Theory
Roman Krutowski
TL;DR
This paper provides a combinatorial proof of Lipshitz's Maslov index formula within Heegaard Floer homology, simplifying the understanding of the index calculation through diagram combinatorics.
Contribution
It introduces a new combinatorial approach to prove the Maslov index formula in Heegaard Floer theory, enhancing computational methods.
Findings
Validated Lipshitz's Maslov index formula combinatorially
Simplified the proof of the index formula
Potentially improved computational techniques in Floer homology
Abstract
We prove Lipshitz's Maslov index formula in Heegaard Floer homology via the combinatorics of Heegaard diagrams.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Topological and Geometric Data Analysis