Memoirs of the American Mathematical Society· 2026Q1
Surgery Exact Triangles in Involutive Heegaard Floer Homology
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- Q1SCImago
- 2026year
Short summary
Researchers constructed a surgery exact triangle for involutive Heegaard Floer homology, enabling an involutive version of Ozsváth-Szabó's mapping cone formula for knot surgery.
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Key points
- Developed a surgery exact triangle for involutive Heegaard Floer homology.
- Created an involutive version of Ozsváth-Szabó's mapping cone formula for knot surgery.
- Applied the formula to identify integer homology spheres not cobordant to linear combinations of Seifert fibered spaces.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Memoirs of the American Mathematical Society, 2026 · DOI ↗
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Field: Geometry and Topology
Geometry and TopologyMathematics