Higher structures in topology, geometry and physics : AMS special session, Higher structures in topology, geometry, and physics, March 26-27, 2022, virtual / Ralph M. Kaufmann, Martin Markl, Alexander A. Voronov, editors.

Format:

Book

Conference/Event

Contributor:

Kaufmann, Ralph M., editor.

Markl, Martin, 1960- editor.

Voronov, Alexander A., editor.

Conference Name:

AMS Special Session on Higher Structures in Topology, Geometry and Physics (2022 : Online)

Series:

Contemporary mathematics (American Mathematical Society) ; v. 802.

Contemporary mathematics, 0271-4132 ; 802

Language:

English

Subjects (All):

Algebraic topology--Congresses.

Algebraic topology.

Quantum field theory--Congresses.

Quantum field theory.

Cohomology operations--Congresses.

Cohomology operations.

Functional analysis--Congresses.

Functional analysis.

Genre:

proceedings (reports)

Conference papers and proceedings.

Physical Description:

vii, 321 pages : illustrations ; 25 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2024]

Summary:

"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." -- Provided by publisher.

Contents:

On noncommutative differential forms / Boris Tsygan

An algebraic model for the free loop space / Manuel Rivera

The structure of simply colored coalgebras / Yang Mo

On examples and classification of Frobenius objects in Rel / Ivan Contreras, Adele Long, Sophia Marx, and Rajan Amit Mehta

Stirling decomposaition of graph homology in genus 1 / Benjamin C. Ward

A combinatorial model for the moduli of bordered Riemann surfaces and a compactification / Ralph M. Kaufmann and Javier Zuniga

Calculations for plus constructions / Michael Monaco

Segal conditions for generalized operads / Philip Hackney

The topological Atiyah-Segal map / Daniel A. Ramras

Bordism for the 2-group of symmetries of the heterotic and CHL strings / Arun Debray

Generalized Abelian Turaev-Viro and U(1) BF Theories / Emil Høssjer, Philippe Mathieu, and Frank Thuillier.

Notes:

Includes bibliographical references.

ISBN:

9781470471422

1470471426

OCLC:

1428532360