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Publication and preprints (arXiv Page)
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$S^1$-action on the Hochschild homology of the Tamarkin Category. Joint with Wenyuan Li, in preparation.
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Almost mathematics, Persistence module, and Tamarkin category. Joint with Tatsuki Kuwagaki.
Preprint. arXiv.
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Non-linear microlocal cut-off functors.
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On the Hochschild cohomology of Tamarkin categories. Joint with Christopher Kuo and Vivek Shende.
Preprint. arXiv.
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Contact non-squeezing at large scale via generating functions. Joint with Maia Fraser and Sheila Sandon.
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Idempotence of microlocal kernels and $S^1$-equivariant Chiu-Tamarkin invariant.
Preprint. arXiv.
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Capacities from the Chiu-Tamarkin Complex.
J. Symplectic Geom., 22(3) (2024), pp. 441-524. arXiv, Journal (PDF).
Thesis and notes
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PhD Thesis is my PhD thesis. It basically consists of the last two papers above but is not strictly their sum.
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Generating functions and Sheaves is a note for a short lecture within CIRM Spring School on Symplectic and Contact Topology in 2021. The short lecture, given by Sylvain Courte, introduces the basic notions of generating functions and sheaves.
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M2 thesis is my M2 thesis in Institut Fourier under the supervision of Stéphane Guillermou. It provides a specific construction for the kernel of the projector to the category associated with cubes in symplectic linear spaces.
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On the CAS master thesis (in Chinese), under the supervision of Wei-dong Ruan. I write a note on the proof of the Guillermou-Kashiwara-Schapira sheaf quantization of Hamiltonian.