3 papers
math.AG2025
Fourier--Mukai equivalences for formal groups and elliptic Hochschild homology
Sarah Scherotzke, Nicolò Sibilla, Paolo Tomasini
This paper establishes a unifying framework for various forms of twisted Hochschild homology by comparing two definitions of elliptic Hochschild homology: one introduced by Moulino…
math.AT2023
Adelic Descent for Equivariant Elliptic Cohomology
Paolo Tomasini
We define -rationalized -equivariant elliptic cohomology, for a field of characteristic zero and a compact Lie group , via adelic descent. We also give adelic descript…
math.AG2023
Equivariant Elliptic Cohomology and Mapping Stacks
Nicolò Sibilla, Paolo Tomasini
We introduce a new cohomology theory for stacks called elliptic Hochschild homology, prove some fundamental properties and compute it in some classes of examples. We then introduce…