Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Higher Structures in Topology, Geometry, and Physics
 
Edited by: Ralph M. Kaufmann Purdue University, West Lafayette, IN
Martin Markl Czech Academy of Sciences, Prague, Czech Republic
Alexander A. Voronov University of Minnesota, Minneapolis, MN
Softcover ISBN:  978-1-4704-7142-2
Product Code:  CONM/802
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
eBook ISBN:  978-1-4704-7642-7
Product Code:  CONM/802.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
Softcover ISBN:  978-1-4704-7142-2
eBook: ISBN:  978-1-4704-7642-7
Product Code:  CONM/802.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
Click above image for expanded view
Higher Structures in Topology, Geometry, and Physics
Edited by: Ralph M. Kaufmann Purdue University, West Lafayette, IN
Martin Markl Czech Academy of Sciences, Prague, Czech Republic
Alexander A. Voronov University of Minnesota, Minneapolis, MN
Softcover ISBN:  978-1-4704-7142-2
Product Code:  CONM/802
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
eBook ISBN:  978-1-4704-7642-7
Product Code:  CONM/802.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
Softcover ISBN:  978-1-4704-7142-2
eBook ISBN:  978-1-4704-7642-7
Product Code:  CONM/802.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: August 14, 2024
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8022024; 323 pp
    MSC: Primary 18; 55; 81; Secondary 16; 32; 57

    This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022.

    The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.

    Readership

    Graduate students and research mathematicians interested in algebraic and topological aspects of quantum field theory.

  • Table of Contents
     
     
    • Articles
    • Boris Tsygan — On noncommutative differential forms
    • Manuel Rivera — An algebraic model for the free loop space
    • Yang Mo — The structure of simply colored coalgebras
    • Ivan Contreras, Adele Long, Sophia Marx and Rajan Amit Mehta — On examples and classification of Frobenius objects in Rel
    • Benjamin C. Ward — Stirling decomposition of graph homology in genus $1$
    • Ralph M. Kaufmann and Javier Zúñiga — A combinatorial model for the moduli of bordered Riemann surfaces and a compactification
    • Michael Monaco — Calculations for plus constructions
    • Philip Hackney — Segal conditions for generalized operads
    • Daniel A. Ramras — The topological Atiyah–Segal map
    • Arun Debray — Bordism for the 2-group symmetries of the heterotic and CHL strings
    • Emil Høssjer, Philippe Mathieu and Frank Thuillier — Generalized Abelian Turaev–Viro and $\operatorname {U}(1)$ BF theories
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8022024; 323 pp
MSC: Primary 18; 55; 81; Secondary 16; 32; 57

This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022.

The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.

Readership

Graduate students and research mathematicians interested in algebraic and topological aspects of quantum field theory.

  • Articles
  • Boris Tsygan — On noncommutative differential forms
  • Manuel Rivera — An algebraic model for the free loop space
  • Yang Mo — The structure of simply colored coalgebras
  • Ivan Contreras, Adele Long, Sophia Marx and Rajan Amit Mehta — On examples and classification of Frobenius objects in Rel
  • Benjamin C. Ward — Stirling decomposition of graph homology in genus $1$
  • Ralph M. Kaufmann and Javier Zúñiga — A combinatorial model for the moduli of bordered Riemann surfaces and a compactification
  • Michael Monaco — Calculations for plus constructions
  • Philip Hackney — Segal conditions for generalized operads
  • Daniel A. Ramras — The topological Atiyah–Segal map
  • Arun Debray — Bordism for the 2-group symmetries of the heterotic and CHL strings
  • Emil Høssjer, Philippe Mathieu and Frank Thuillier — Generalized Abelian Turaev–Viro and $\operatorname {U}(1)$ BF theories
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.