Surgery exact triangles in involutive Heegaard Floer homology
Geometric Topology
2025-07-04 v2
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 Ozsv\'ath-Szab\'o'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.
Keywords
Cite
@article{arxiv.2011.00113,
title = {Surgery exact triangles in involutive Heegaard Floer homology},
author = {Kristen Hendricks and Jennifer Hom and Matthew Stoffregen and Ian Zemke},
journal= {arXiv preprint arXiv:2011.00113},
year = {2025}
}
Comments
210 pages. Minor revisions. Accepted for publication in Memoirs of the AMS