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Softcover ISBN:  9781470471422 
Product Code:  CONM/802 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
eBook ISBN:  9781470476427 
Product Code:  CONM/802.E 
List Price:  $129.00 
MAA Member Price:  $116.10 
AMS Member Price:  $103.20 
Softcover ISBN:  9781470471422 
eBook ISBN:  9781470476427 
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 

Book DetailsContemporary MathematicsVolume: 802; 2024; 323 ppMSC: 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.
ReadershipGraduate 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 2group symmetries of the heterotic and CHL strings

Emil Høssjer, Philippe Mathieu and Frank Thuillier — Generalized Abelian Turaev–Viro and $\operatorname {U}(1)$ BF theories


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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.
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 2group symmetries of the heterotic and CHL strings

Emil Høssjer, Philippe Mathieu and Frank Thuillier — Generalized Abelian Turaev–Viro and $\operatorname {U}(1)$ BF theories