Knots, sutures and excision
P. B. Kronheimer, T. S. Mrowka
TL;DR
This paper introduces monopole and instanton Floer homology groups for balanced sutured manifolds, providing new tools for knot theory and a novel proof of Property P for knots.
Contribution
It develops monopole and instanton Floer homology theories for balanced sutured manifolds, advancing the mathematical framework in low-dimensional topology.
Findings
New Floer homology groups for sutured manifolds
A novel proof of Property P for knots
Enhanced understanding of knot invariants
Abstract
We develop monopole and instanton Floer homology groups for balanced sutured manifolds. Applications include a new proof of Property P for knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · semigroups and automata theory