A connected sum formula for involutive Heegaard Floer homology
By Kristen Hendricks, Ciprian Manolescu, Ian Zemke. 2016
63 citations recorded by the source corpus.
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 $$\underline{d}(Y) \ne d(Y) \ne \bar{d}(Y)$$d̲(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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/aef5a2afd31a837c85dae7edfe14e6542e74923a
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Connected sums and involutive knot Floer homology (2017, methodology): “It is modified slightly from [8] because of our grading convention.”