A Double Bicategory of Cobordisms with Corners

@inproceedings{Morton2009ADB,
  title={A Double Bicategory of Cobordisms with Corners},
  author={J Morton},
  year={2009}
}
Interest in cobordism categories arises in areas from topology to theoretical physics, and in particular in Topological Quantum Field Theories (TQFT’s). These categories have manifolds as objects, and cobordisms between them as morphisms, have that is, manifolds of one dimension higher whose boundary decomposes into the source and target. Since the boundary of a boundary is empty, this formulation cannot account for cobordisms between manifolds with boundary. This is needed to describe open… CONTINUE READING