An example of higher-dimensional Heegaard Floer homology

We count pseudoholomorphic curves in the higher-dimensional Heegaard Floer homology of disjoint cotangent fibers of a two-dimensional disk.We show that the resulting algebra is isomorphic to the Hecke algebra associated to the symmetric group.

Authors

Tian Yin (ORCID: https://orcid.org/0000-0001-7039-0479)
Tianyu Yuan (ORCID: https://orcid.org/0000-0002-9892-4804)

Institutions

Beijing Normal University (CN)
Zhejiang Business Technology Institute (CN)

Publication Details

Journal: Algebraic & Geometric Topology
Published: 2025-06-20
DOI: https://doi.org/10.2140/agt.2025.25.1877
Primary Topic: Geometric and Algebraic Topology
Type: article
Field-Weighted Citation Impact: 0.00

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article

An example of higher-dimensional Heegaard Floer homology

Tian Yin, Tianyu Yuan

Jun 20, 2025

Algebraic & Geometric Topology

Geometric and Algebraic Topology

article

An example of higher-dimensional Heegaard Floer homology

Tian Yin, Tianyu Yuan

June 20, 2025article en

Abstract

Algebraic & Geometric TopologyVol. 25(3)

Beijing Normal University (CN), Zhejiang Business Technology Institute (CN)

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Geometric and Algebraic Topology

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An example of higher-dimensional Heegaard Floer homology — Tian Yin, Tianyu Yuan · Algebraic & Geometric Topology (2025) | TGRS Research Map | TGRS