3 papers
math.AT2026
On the Formality of Configuration Spaces of
Si Li, Peng Yang, Jiawei Zhou
This paper presents a complete classification of the formality of configuration spaces of . We define a constructible de Rham-Dolbeault cohom…
math.PR2025
Stochastic Calculus and Hochschild Homology
Si Li, Zichang Wang, Peng Yang
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 topolog…
math.QA2024
Topological Quantum Mechanics on Orbifolds and Orbifold Index
Si Li, Peng Yang
In this paper, we study topological quantum mechanical models on symplectic orbifolds. The correlation map gives an explicit orbifold version of quantum HKR map. The exact semi-cla…