4 papers
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…
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 cons…
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…