Khovanov-Seidel braid representation
Hoel Queffelec
TL;DR
This paper provides an accessible introduction to Khovanov and Seidel's explicit categorical representation of Artin-Tits groups, highlighting its computational aspects and potential applications in geometric group theory.
Contribution
It offers a detailed, computationally explicit presentation of the Khovanov-Seidel braid representation, making complex categorical concepts more accessible.
Findings
Explicit computational methods for the Khovanov-Seidel representation
Potential applications to geometric group theory
Clarification of categorical structures in braid groups
Abstract
These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Tits groups, emphasizing the fact that it is all explicitly computable. Several prospective applications to (geometric) group theory are mentioned.
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Taxonomy
TopicsGeometric and Algebraic Topology · Orthodontics and Dentofacial Orthopedics · Ophthalmology and Eye Disorders