Work

Surgery Exact Triangles in Involutive Heegaard Floer Homology

Year: 2026

Type: article

Abstract: We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version of Ozsváth-Szabó’s mapping cone formula for knot surgery. As an application, we use this surgery formula to give examples of integer homology spheres that are not homology cobordant to any linear combination of Seifert fibered spaces.

Source: Memoirs of the American Mathematical Society

DOI: 10.1090/memo/1645

Authors: Kristen Hendricks, Jennifer Hom, Matthew Stoffregen, Ian Zemke

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: CAREER: Heegaard Floer homology and low-dimensional topology, CAREER: Equivariant Floer Theory and Low-dimensional Topology, PostDoctoral Research Fellowship, PostDoctoral Research Fellowship

OpenAlex ID: W3095335849

FWCI: 20.15

Cites: 70

Cited by: 31

Related to: 10