Topology of Singularities on Algebraic Loop Spaces
Algebraic Geometry
2022-02-15 v1
Abstract
We study the topology of some simple infinite dimensional singularities arising from spaces of \emph{algebraic formal loops}. We prove that in some simple cases the natural analogue of nearby cycles cohomology for a function on the loop space vanishes, and show further that a suitably renormalized version of the above cohomology produces a simple (non-zero) result.
Cite
@article{arxiv.2202.06396,
title = {Topology of Singularities on Algebraic Loop Spaces},
author = {Emile Bouaziz},
journal= {arXiv preprint arXiv:2202.06396},
year = {2022}
}