Surgery exact triangles in involutive Heegaard Floer homology
arXiv:2011.00113
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.
210 pages. Minor revisions. Accepted for publication in Memoirs of the AMS