61 citations · 342 across the 32 of their papers we have counts for
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gr-qc2006★ 5 cited
Invariants of Spin Networks Embedded in Three-Manifolds
João Faria Martins, Aleksandar Mikovic
We study the invariants of spin networks embedded in a three-dimensional manifold which are based on the path integral for SU(2) BF-Theory. These invariants appear naturally in Loo…
math.QA2006★ 2 cited
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…
math.GT2006★ 3 cited
On the Homotopy Type and the Fundamental Crossed Complex of the Skeletal Filtration of a CW-Complex
João Faria Martins
We prove that if is a CW-complex, then the homotopy type of the skeletal filtration of does not depend on the cell decomposition of up to wedge products with -disks…