Tianyu Yuan

activity

20212023

most citedSolutions to the generalized Eshelby conjecture for anisotropic media: Proofs of the weak version and counter-examples to the high-order and the strong versions

11 citations · 26 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.SG2023

Heegaard Floer Symplectic homology and Viterbo's isomorphism theorem in the context of multiple particles

Roman Krutowski, Tianyu Yuan

Given a Liouville manifold $M$ , we introduce an invariant of $M$ that we call the Heegaard Floer symplectic cohomology $S H_{κ}^{*} (M)$ for any $κ \geq 1$ that coincides with the symplect…

math.SG2023

Folded Morse flow trees

Tianyu Yuan

We present an approach to Morse theory on symmetric products of surfaces using the notion of folded ribbon trees. We introduce an $A_{\infty}$ -category with objects defined as $κ$ -tu…

math.SG2022★ 1 cited

Higher-dimensional Heegaard Floer homology and Hecke algebras

Ko Honda, Yin Tian, Tianyu Yuan

Given a closed oriented surface $Σ$ of genus greater than 0, we construct a map $F$ from the higher-dimensional Heegaard Floer homology of the cotangent fibers of $T^{*} Σ$ …