Inverse Problems, Geometric and Topological Aspects of Representation Theory, and Low-Dimensional Topology

Mee Seong Im, Hanna E. Makaruk, Bach Nguyen, Robert Owczarek

• Publisher: American Mathematical Society
• Year: 2026
• Topic: Mathematics
• eBook ISBN:
  9781470481926
• Subtopic: Mathematics General
• Index: Mathematics

This volume contains the proceedings of the AMS Special Session on Inverse Problems and the AMS Special Session on Geometry and Representation Theory of Quantum Algebras and Related Topics at the AMS Fall Western Sectional Meeting, held from October 22–23, 2022, at the University of Utah, Salt Lake City, Utah. This book presents a wide variety of high-quality research in Reshetikhin–Turaev invariants, Khovanov homology, quantum groups, topological quantum field theories over algebraic number fields, nonreductive geometric invariant theory, Chebyshev polynomials, oriented bundles over oriented surfaces, and entanglement topology and tensor networks. The book may be useful for both junior and senior researchers and mathematicians in low-dimensional topology, mathematical physics, and algebraic geometry.

Table of contents

• Cover
• Title page
• Contents
• Preface
• List of participants
• Renormalized Reshetikhin–Turaev invariants for the unrolled quantum group of 𝔰𝔩₂(ℂ)
• Two-dimensional topological quantum field theories of rank two over Dedekind domains
• Towards the affine and geometric invariant theory quotients of the Borel moment map
• 𝐸𝑅=𝐸𝑃𝑅, entanglement topology and tensor networks
• On the Khovanov homology of 𝑇(2,𝑛) via long exact sequence
• Exploring unimodality of the plucking polynomial with delay function
• Using Fibonacci numbers and Chebyshev polynomials to express Fox coloring groups and Alexander–Burau–Fox modules of diagrams o 昀 眀栀攀攀氀 最爀愀瀀栀猀
• Isotopies of links in oriented 𝑆¹-bundles over surfaces
• Are Sławianowski and Kijowski theories good models for TQFTs of Schwarz type?