A note on combinatorial splicing formulas for Heegaard Floer homology
Eaman Eftekhary
TL;DR
This paper refines the understanding of splicing formulas in Heegaard Floer homology by explicitly describing them using knot Floer complexes for knots in homology spheres.
Contribution
It provides a precise description of splicing formulas in terms of knot Floer complexes, enhancing the computational framework for Heegaard Floer homology.
Findings
Explicit description of splicing formulas in terms of knot Floer complexes
Improved computational methods for Heegaard Floer homology
Clarification of the relationship between splicing and knot Floer complexes
Abstract
We give a precise description of splicing formulas from a previous paper in terms of knot Floer complex associated with a knot in homology sphere.
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Taxonomy
TopicsGeometric and Algebraic Topology · Botulinum Toxin and Related Neurological Disorders · Homotopy and Cohomology in Algebraic Topology