Moves on Filtered PL Manifolds and Stratified PL Spaces

Abstract

We extend results of Pachner and Casali to give finite sets of moves relating triangulations of PL manifolds respecting filtrations by locally flat manifolds and stratifications in which a finite family of simple local models exists for neighborhoods of strata.

arXiv comment6 pages

References in corpus (2)

• A categorical construction of 4D TQFTs
• A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories

Cited by in corpus (3)

• On 2-Dimensional Dijkgraaf-Witten Theory with Defects
• Dijkgraaf-Witten Type Invariants of Seifert Surfaces in 3-Manifolds
• Stratified spaces, Directed Algebraic Topology, and State-Sum TQFTs