Higher Structures in Topology, Geometry, and Physics

Higher Structures in Topology, Geometry, and Physics

  • Ralph M. Kaufmann
  • Martin Markl
  • Alexander A. Voronov
Publisher:American Mathematical SocietyISBN 13: 9781470471422ISBN 10: 1470471426

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Higher Structures in Topology, Geometry, and Physics is written by Ralph M. Kaufmann and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470471426 (ISBN 10) and 9781470471422 (ISBN 13).

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.