Hypercontact structures and Floer homology
Sonja Hohloch, Gregor Noetzel, Dietmar Salamon
TL;DR
This paper introduces a novel Floer theory linking hypercontact 3-manifolds and hyperkähler manifolds, expanding the mathematical framework for studying their interactions.
Contribution
It presents a new Floer theory specifically designed for pairs of hypercontact 3-manifolds and hyperkähler manifolds, a novel approach in the field.
Findings
Development of a new Floer homology theory for hypercontact-hyperkähler pairs
Establishment of foundational properties of the introduced Floer theory
Potential applications to geometric topology and mathematical physics
Abstract
We introduce a new Floer theory associated to a pair consisting of a Cartan hypercontact 3-manifold M and a hyperkaehler manifold X.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · semigroups and automata theory