Stochastic Calculus and Hochschild Homology
Probability
2025-03-19 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
This paper is a case study of probabilistic approach to homological aspects of topological quantum field theory via the example of topological quantum mechanics. We propose topological correlations in terms of large variance limit. An investigation on the relation between probabilistic topological correlations on the circle and Hochschild homology is illustrated.
Keywords
Cite
@article{arxiv.2501.12360,
title = {Stochastic Calculus and Hochschild Homology},
author = {Si Li and Zichang Wang and Peng Yang},
journal= {arXiv preprint arXiv:2501.12360},
year = {2025}
}
Comments
16 pages. Comments are welcome