Heegaard Floer invariants for cyclic 3-orbifolds
Saibal Ganguli, Mainak Poddar
TL;DR
This paper extends Heegaard Floer homology to three-dimensional orbifolds with cyclic singularities, broadening the scope of previous work to include orbifolds with disconnected singular loci.
Contribution
It introduces a new framework for Heegaard Floer invariants applicable to a wider class of 3-orbifolds with arbitrary cyclic singularities.
Findings
Defined Heegaard Floer homology for orbifolds with cyclic singularities
Generalized Wong's work to disconnected singular loci
Provides tools for studying 3-orbifolds with complex singular structures
Abstract
We define a notion of Heegaard Floer homology for three dimensional orbifolds with arbitrary cyclic singularities, generalizing the recent work of Biji Wong where the singular locus is assumed to be connected.
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Taxonomy
TopicsGeometric and Algebraic Topology · Botulinum Toxin and Related Neurological Disorders