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.
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.
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 domainsMee Seong Im and Meral Tosun, Towards the affine and geometric invariant theory quotients of the Borel moment mapLouis H. Kauffman, ER=EPR, entanglement topology and tensor networksGabriel Montoya-Vega, On the Khovanov homology of $T(2,n)$ via long exact sequenceDionne Ibarra, Alex Landry, Gabriel Montoya-Vega, and Jozef H. Przytycki, Exploring unimodality of the plucking polynomial with delay functionAnthony 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 graphsMieczyslaw K. Dabkowski and Sushmita Sinha Roy, Isotopies of links in oriented $S^1$-bundles over surfacesRobert Owczarek, Are Slawianowski and Kijowski theories good models for TQFTs of Schwarz type?