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math.DS2021★ 6 cited
Birkhoff Normal Form and Twist Coefficients of Periodic Orbits of Billiards
Xin Jin, Pengfei Zhang
In this paper we study the Birkhoff Normal Form around elliptic periodic points for a variety of dynamical billiards. We give an explicit construction of the Birkhoff transformatio…
math.SG2021
Homological Mirror Symmetry for the universal centralizers I: The adjoint group case
Xin Jin
We prove homological mirror symmetry for the universal centralizer (a.k.a Toda space), associated to any complex semisimple Lie group . The A-side is a partially wrapped F…