English

An open-closed cobordism category with background space

Algebraic Topology 2014-10-01 v1

Abstract

In this paper we introduce an open-closed cobordism category with maps to a background space. We identify the classifying space of this category for certain classes of background space. The key ingredient is the homology stability of mapping class groups with twisted coefficients.

Keywords

Cite

@article{arxiv.0902.0705,
  title  = {An open-closed cobordism category with background space},
  author = {Elizabeth Hanbury},
  journal= {arXiv preprint arXiv:0902.0705},
  year   = {2014}
}

Comments

29 pages. To appear in AGT

R2 v1 2026-06-21T12:07:52.995Z