This volume contains the proceedings of the AMS Special Session on Inverse Problems 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.
Nathan Geer, Adam Robertson, Jan-Luca Spellmann, and Matthew B. Young,
Renormalized Reshetikhin-Turaev invariants for the unrolled quantum group of
$\mathfrak{sl}_2(\mathbb{C})$
Fabian Espinoza, Mee Seong Im, and Mikhail Khovanov, Two-dimensional
topological quantum field theories of rank two over Dedekind domains
Mee Seong Im and Meral Tosun, Towards the affine and geometric invariant
theory quotients of the Borel moment map
Louis H. Kauffman, ER=EPR, entanglement topology and tensor networks
Gabriel Montoya-Vega, On the Khovanov homology of $T(2,n)$ via long exact
sequence
Dionne Ibarra, Alex Landry, Gabriel Montoya-Vega, and Jozef H. Przytycki,
Exploring unimodality of the plucking polynomial with delay function
Anthony Christiana, Huizheng Guo, and Jozef H. Przytycki, Using Fibonacci
numbers and Chebyshev polynomials to express Fox coloring groups and
Alexander-Burau-Fox modules of diagrams of wheel graphs
Mieczyslaw K. Dabkowski and Sushmita Sinha Roy, Isotopies of links in
oriented $S^1$-bundles over surfaces
Robert Owczarek, Are Slawianowski and Kijowski theories good models for
TQFTs of Schwarz type?
Mee Seong Im, United States Naval Academy, Annapolis, MD, Hanna E. Makaruk, Los Alamos National Laboratory, NM, Bach Nguyen, Xavier University of Louisiana, New Orleans, LA, and Robert Owczarek, University of New Mexico, Albuquerque, NM.
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