Higher Structures in Topology, Geometry, and Physics

Häftad, Engelska, 2024

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-08-31
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:324
Förlag:American Mathematical Society
ISBN:9781470471422

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

Boris Tsygan, On noncommutative differential formsManuel Rivera, An algebraic model for the free loop spaceYang Mo, The structure of simply colored coalgebrasIvan Contreras, Adele Long, Sophia Marx, and Rajan Amit Mehta, On examples and classification of Frobenius objects in RelBenjamin C. Ward, Stirling decomposition of graph homology in genus 1Ralph M. Kaufmann and Javier Zuniga, A combinatorial model for the moduli of bordered Riemann surfaces and a compactificationMichael Monaco, Calculations for plus constructionsPhilip Hackney, Segal conditions for generalized operadsDaniel A. Ramras, The topological Atiyah-Segal mapArun Debray, Bordism for the 2-group symmetries of the heterotic and CHL stringsEmil Hossjer, Philippe Mathieu, and Frank Thuillier, Generalized abelian Turaev-Viro and U(1) BF theories