2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
Rare Events Govern Defect Formation under Weak Symmetry Breaking
Jiang Liu, Peng Yang, Matteo Baggioli
Crossing a continuous phase transition out of equilibrium typically generates topological defects whose density obeys a universal power-law scaling predicted by the Kibble-Zurek me…
Extended Heun Hierarchy in Quantum Seiberg-Witten Geometry
Peng Yang, Yi-Rong Wang, Kilar Zhang
We investigate the quantum geometry of the Seiberg-Witten curve for , linear quiver gauge theories. By applying the Weyl quantization prescription…
Representations of binary forms by quaternary quadratic forms
Wooyeon Kim, Andreas Wieser, Pengyu Yang
We prove a local-global principle for representations of binary by quaternary quadratic forms. One of the main ingredients is a recent measure rigidity result of Einsiedler and Lin…
Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries
Peng Yang, Chuan-Yin Xia, Sebastian Grieninger +2
The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken…
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…
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…