An introduction to Khovanov homology and annular links - Sergio García Rodrigo

Talk given on 15th of March of 2023.

Abstract:
This talk will provide an overview of knot theory, a subfield of algebraic topology that seeks to understand the properties of knots and links through the study of their invariants. Specifically, we focus on two essential invariants in knot theory, namely, the Jones polynomial and its categorification, the Khovanov homology.

Furthermore, we introduce a variation of classical links, known as annular links, which exist in the solid torus instead of R^3. We then proceed to explore the annular versions of both the Jones polynomial and the Khovanov homology.

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