Noncommutative aspects of open/closed strings via foliations

We give a brief summary of algebraic aspects of string theory arising in the noncommutative geometry setting of foliations called string diagrammatics which we introduced jointly with Bob Penner. We furthermore discuss how this gives rise to actions on the Hochschild complex of a Frobenius algebra....

Full description

Saved in:

Bibliographic Details
Published in:	Reports on mathematical physics Vol. 61; no. 2; pp. 281 - 293
Main Author:	Kaufmann, Ralph M.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01-04-2008
Subjects:	foliations Hochschild cochains loop space moduli space actions noncommutative geometry open/closed string theory quantum cohomology quantum deformations string topology quantum cohomology string topology open/closed string theory foliations moduli space actions loop space noncommutative geometry Hochschild cochains quantum deformations
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We give a brief summary of algebraic aspects of string theory arising in the noncommutative geometry setting of foliations called string diagrammatics which we introduced jointly with Bob Penner. We furthermore discuss how this gives rise to actions on the Hochschild complex of a Frobenius algebra. We then explain how this leads to new quantum chains for loop spaces and a stabilization in the semi-simple case.
ISSN:	0034-4877 1879-0674
DOI:	10.1016/S0034-4877(08)80016-X