Work

TQFT string operations in open-closed string topology

Year: 2008

Type: preprint

Abstract: To open-closed cobordism surfaces, open-closed string topology associates topological quantum field theory (TQFT) operations, namely string operations, which depend only on homeomorphism types of surfaces and which satisfy the sewing property. We show that most TQFT string operations vanish in open-closed string topology. We describe those open-closed cobordisms with vanishing string operations, and give a short list of open-closed cobordisms with possibly nontrivial string operations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0803.1038

Author: Tamanoi, Hirotaka

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1492516816

Cites: 13

Cited by: 3

Related to: 10