Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant and 3-manifolds
Noboru Ito
TL;DR
This paper explores the relationship between Khovanov homology and the Witten-Reshetikhin-Turaev invariant in the context of 3-manifolds, aiming to deepen understanding of their interplay.
Contribution
It introduces a novel approach linking Khovanov homology with unnormalized Witten-Reshetikhin-Turaev invariants for 3-manifolds.
Findings
Establishes a new connection between Khovanov homology and 3-manifold invariants
Provides a framework for computing Witten-Reshetikhin-Turaev invariants via homological methods
Suggests potential applications in topological quantum field theory
Abstract
A problem about Khovanov homology and 3-manifolds is discussed in this paper.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory