2016/07/25 by Hendricks, Kristen, Manolescu, Ciprian, Zemke, Ian · 1 citation
#57M27 (Secondary) #57R58 (Primary) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1607.07499
We prove a connected sum formula for involutive Heegaard Floer homology, and use it to study the involutive correction terms of connected sums. In particular, we give an example of a three-manifold with \underlined(Y) ≠ d(Y) ≠ d(Y). We also construct a homomorphism from the three-dimensional homology cobordism group to an algebraically defined Abelian group, consisting of certain complexes (equipped with a homotopy involution) modulo a notion of local equivalence.