28 citations · 59 across the 13 of their papers we have counts for
14 papers
A categorification of Quinn's finite total homotopy TQFT with application to TQFTs and once-extended TQFTs derived from strict omega-groupoids
João Faria Martins, Timothy Porter
We first revisit the construction of Quinn's finite total homotopy TQFT, which depends on the choice of a homotopy finite space, . This constitutes a vast generalis…
On Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical Groups
João Faria Martins, Timothy Porter
We give an interpretation of Yetter's Invariant of manifolds in terms of the homotopy type of the function space , where is a crossed module and is its…
A geometry of information, I: Nerves, posets and differential forms
Jonathan Gratus, Timothy Porter
The main theme of this workshop (Dagstuhl seminar 04351) is `Spatial Representation: Continuous vs. Discrete'. Spatial representation has two contrasting but interacting aspects (i…
Formal Homotopy Quantum Field Theories, II : Simplicial Formal Maps
Timothy Porter
Simplicial formal maps were introduced in the first paper, (math.QA/0512032), of this series as a tool for studying Homotopy Quantum Field Theories with background a general homoto…
Formal Homotopy Quantum Field Theories, I: Formal Maps and Crossed C-algebras
Timothy Porter, Vladimir Turaev
Homotopy Quantum Field Theories (HQFTs) were introduced by the second author to extend the ideas and methods of Topological Quantum Field Theories to closed -manifolds endowed w…
-categories, -groupoids, Segal categories and quasicategories
Timothy Porter
The notes were prepared for a series of talks that I gave in Hagen in late June and early July 2003, and, with some changes, in the University of La Laguña, the Canary Islands, in…