61 citations · 342 across the 32 of their papers we have counts for
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Categorifying the Knizhnik-Zamolodchikov Connection via an Infinitesimal 2-Yang-Baxter Operator in the String Lie-2-Algebra
Lucio S. Cirio, João Faria Martins
We construct a flat (and fake-flat) 2-connection in the configuration space of indistinguishable particles in the complex plane, which categorifies the -Knizhnik-Zamol…
Categorifying the Knizhnik-Zamolodchikov Connection
Lucio S. Cirio, João Faria Martins
In the context of higher gauge theory, we construct a flat and fake flat 2-connection, in the configuration space of particles in the complex plane, categorifying the Knizhnik-…
Lie crossed modules and gauge-invariant actions for 2-BF theories
Joao Faria Martins, Aleksandar Mikovic
We generalize the BF theory action to the case of a general Lie crossed module , where and are non-abelian Lie groups. Our construction requires the existence of…
Spin Foam State Sums and Chern-Simons Theory
Aleksandar Mikovic, Joao Faria Martins
We review the spin foam state-sum invariants of 3-manifolds, and explain their relationship to manifold invariants coming from the Chern-Simons theory. We also explain the relation…