collaborators
Showing math.GTShow all

4 papers · 1 filter

math.GT2025

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…

math.GT2025

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.

math.GT2024

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…

math.GT2024

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…