TL;DR
This survey introduces quantum character varieties and stacks, highlighting the unification of four different construction approaches within mathematical physics.
Contribution
It provides a comprehensive overview of quantum character varieties and stacks, emphasizing the unification of multiple construction methods.
Findings
Unification of four approaches to quantum character varieties.
Clarification of the mathematical structures involved.
Foundational overview for future research in quantum topology.
Abstract
In this survey article for the Encyclopedia of Mathematical Physics, 2nd Edition, I give an introduction to quantum character varieties and quantum character stacks, with an emphasis on the unification between four different approaches to their construction.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry