24 citations · 58 across the 21 of their papers we have counts for
24 papers
Obstruction theory for the -index of -manifolds
Chahrazade Matmat, Christian Blanchet
We develop a complete obstruction theory for the -index of a compact connected 4-dimensional manifold with free involution. This -index, equal to the mi…
Heisenberg homology of ribbon graphs
Christian Blanchet
We review Heisenberg homology of configurations in once bounded surfaces and extend the construction to the regular thickening of a finite graph with ribbon structure.
Abelian TQFTS and Schrödinger local systems
Aleksei Andreev, Anna Beliakova, Christian Blanchet
We construct an action of 3-cobordisms on the finite dimensional Schrödinger representations of the Heisenberg group by Lagrangian correspondences. In addition, we review the const…
Action of subgroups of the mapping class group on Heisenberg homologies
Christian Blanchet, Martin Palmer, Awais Shaukat
In previous work we constructed twisted representations of mapping class groups of surfaces, depending on a choice of representation of the Heisenberg group . For…
Weakly framed surface configurations, Heisenberg homology and Mapping Class Group action
Awais Shaukat, Christian Blanchet
We obtain representations of the f-based Mapping Class Group of oriented punctured surfaces from an action of mapping classes on Heisenberg homologies of a circle bundle over surfa…
Heisenberg homology on surface configurations
Christian Blanchet, Martin Palmer, Awais Shaukat
Motivated by the Lawrence-Krammer-Bigelow representations of the classical braid groups, we study the homology of unordered configurations in an orientable genus- surface with o…