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Inverse Problems, Geometric and Topological Aspects of Representation Theory, and Low-Dimensional Topology
 
Edited by: Mee Seong Im United States Naval Academy, Annapolis, MD
Hanna E. Makaruk Los Alamos National Laboratory, Los Alamos, NM
Bach Nguyen Xavier University of Louisiana, New Orleans, LA
Robert Owczarek University of New Mexico, Albuquerque, NM
Softcover ISBN:  978-1-4704-7415-7
Product Code:  CONM/834
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: May 06, 2026
Click above image for expanded view
Inverse Problems, Geometric and Topological Aspects of Representation Theory, and Low-Dimensional Topology
Edited by: Mee Seong Im United States Naval Academy, Annapolis, MD
Hanna E. Makaruk Los Alamos National Laboratory, Los Alamos, NM
Bach Nguyen Xavier University of Louisiana, New Orleans, LA
Robert Owczarek University of New Mexico, Albuquerque, NM
Softcover ISBN:  978-1-4704-7415-7
Product Code:  CONM/834
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: May 06, 2026
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8342026; Estimated: 182 pp
    MSC: Primary 57; 41; 14; 81

    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.

    Readership

    Graduate students and research mathematicians interested in inverse problems, geometric and topological aspects of representation theory and low-dimensional topology.

  • Table of Contents
     
     
    • 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 Józef H. Przytycki — Exploring unimodality of the plucking polynomial with delay function
    • Anthony Christiana, Huizheng Guo, and Józef 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 Sławianowski and Kijowski theories good models for TQFTs of Schwarz type?
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8342026; Estimated: 182 pp
MSC: Primary 57; 41; 14; 81

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.

Readership

Graduate students and research mathematicians interested in inverse problems, geometric and topological aspects of representation theory and low-dimensional topology.

  • 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 Józef H. Przytycki — Exploring unimodality of the plucking polynomial with delay function
  • Anthony Christiana, Huizheng Guo, and Józef 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 Sławianowski and Kijowski theories good models for TQFTs of Schwarz type?
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.