3 citations · 8 across the 8 of their papers we have counts for
8 papers
Density of fibers for the filtered Fukaya category of
Stéphane Guillermou, Claude Viterbo, Bingyu Zhang
We answer a question of Biran and Cornea about the density of iterated cones of fibers in the Fukaya category of a cotangent bundle. We prove that indeed if we take a dense set of…
A remark on Continuous K-theory and Fourier-Sato transform
Bingyu Zhang
In this note, we prove a generalization of Efimov's computation for the universal localizing invariant of categories of sheaves with certain microsupport constraints. The proof is…
Almost mathematics, Persistence module, and Tamarkin category
Tatsuki Kuwagaki, Bingyu Zhang
We give a precise unification of three theories that are widely used by symplectic geometers: (Almost) modules over the Novikov ring, Persistence modules, and the Tamarkin category…
Non-linear microlocal cut-off functors
Bingyu Zhang
To any conic closed set of a cotangent bundle, one can associate four functors on the category of sheaves, which are called non-linear microlocal cut-off functors. Here we explain…
On the Hochschild cohomology of Tamarkin categories
Christopher Kuo, Vivek Shende, Bingyu Zhang
To any open subset of a cotangent bundle, Tamarkin has associated a certain quotient of a category of sheaves. Here we show that the Hochschild cohomology of this category agrees w…
Contact non-squeezing at large scale via generating functions
Maia Fraser, Sheila Sandon, Bingyu Zhang
Using SFT techniques, Eliashberg, Kim and Polterovich (2006) proved that if for some integer then there is no contact squeezing in $\mathbb{R}^{2n}…
Idempotence of microlocal kernels and -equivariant Chiu-Tamarkin invariant
Bingyu Zhang
In this article, we present some results and constructions about the Chiu-Tamarkin invariant motivated by the idempotence of microlocal kernels, including: (1) a natural explanatio…
Capacities from the Chiu-Tamarkin complex
Bingyu Zhang
In this paper, we construct a sequence of symplectic capacities based on the Chiu-Tamarkin complex , a -equivariant invariant…