| Softcover ISBN: | 978-1-4704-7142-2 |
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| eBook ISBN: | 978-1-4704-7642-7 |
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| Softcover ISBN: | 978-1-4704-7142-2 |
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| 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 |
| 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 |
| 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 |
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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.
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Table of Contents
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Articles
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Boris Tsygan — On noncommutative differential forms
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Manuel Rivera — An algebraic model for the free loop space
-
Yang Mo — The structure of simply colored coalgebras
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Ivan Contreras, Adele Long, Sophia Marx and Rajan Amit Mehta — On examples and classification of Frobenius objects in Rel
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Benjamin C. Ward — Stirling decomposition of graph homology in genus $1$
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Ralph M. Kaufmann and Javier Zúñiga — A combinatorial model for the moduli of bordered Riemann surfaces and a compactification
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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
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-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 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
