From the 1 of 5 linked papers with an AI index.
5 papers
Gravitational Casimir-Polder interaction in a thermal bath
Shijing Cheng, Tianxin Wang, Zili Zhang
We have investigated, by separating the contributions from thermal fluctuations (tf) and the radiation reaction (rr), the gravitational Casimir-Polder interaction between a gravita…
A non-holomorphic P=W phenomenon
Zili Zhang
The paper proves the P=W identity for 3‑dimensional isolated cluster varieties without the full rank assumption, using real‑analytic geometry to construct perverse truncations and…
Mixed Hodge Structures of cluster varieties of dimension 3
Yuhang Zhang, Zili Zhang
We calculate the mixed Hodge numbers of smooth 3-dimensional cluster varieties and show that they are of mixed Tate type. We also study the mixed Hodge structures of the cohomology…
Local multiplicativity of perverse filtrations
Zili Zhang
Let be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map $S^{[n]}\…
Perverse filtration for generalized Kummer varieties of fibered surfaces
Zili Zhang
Let be a proper surjective morphism from a smooth connected quasi-projective commutative group scheme of dimension 2 to a smooth curve. The construction of generalized Kum…