An involutive dual knot surgery formula

2022/05/25 by Hendricks, Kristen, Hom, Jennifer, Stoffregen, Matthew +1
#57K18 #57K31 #57R58 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2205.12798

Abstract

We prove an involutive analog of the dual knot surgery formula of Eftekhary and Hedden-Levine. We also compute a small model for the local equivalence class of the involutive dual knot complex.

Related

• An involutive upsilon knot invariant
• Surgery exact triangles in involutive Heegaard Floer homology
• An iterable surgery formula on involutive knot lattice homotopy
• Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory
• The link surgery formula and equivariant surgeries