Khovanov homology theories and their applications
Alexander Shumakovitch
TL;DR
This paper reviews different Khovanov homology theories, explores their interrelations and properties, and discusses their applications in knot theory and low-dimensional topology.
Contribution
It provides a comprehensive exposition of various Khovanov homology theories and highlights their connections and applications in topology.
Findings
Different versions of Khovanov homology are interconnected.
Khovanov homology has significant applications in knot theory.
Theories exhibit specific properties relevant to low-dimensional topology.
Abstract
This is an expository paper discussing various versions of Khovanov homology theories, interrelations between them, their properties, and their applications to other areas of knot theory and low-dimensional topology.
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Taxonomy
TopicsGeometric and Algebraic Topology