Results 31 to 35 of about 259 (35)
On semisimplicity of quantum cohomology of $\mathbb P^1$-orbifolds
, 2018 For a $\mathbb P^1$-orbifold $\mathscr C$, we prove that its big quantum cohomology is generically semisimple. As a corollary, we verify a conjecture of Dubrovin for orbi-curves.
Ke, Hua-Zhong
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De Rham cohomology and homotopy Frobenius manifolds
, 2012 We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.Comment: 11 pages ...
Dotsenko, Vladimir +2 more
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A definition of descendants at one point in graph calculus
, 2006 We study the genus expansion of Barannikov-Kontsevich solutions of the WDVV equation. In terms of the related graph calculus we give a definition of descendants at one point and prove that this definition satisfies the topological recursion relations in ...
Shadrin, Sergei
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A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry
, 2012 We prove that open Gromov-Witten invariants for semi-Fano toric manifolds of the form $X=\mathbb{P}(K_Y\oplus\mathcal{O}_Y)$, where $Y$ is a toric Fano manifold, are equal to certain 1-pointed closed Gromov-Witten invariants of $X$.
Auroux +6 more
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Rigid fibers of spinning tops [PDF]
, 2020 (Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable systems containing the Lagrangian top, the Kovalevskaya top and the C.
Kawasaki, Morimichi, Orita, Ryuma
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