Results 31 to 35 of about 267 (35)

Topological recursion for open intersection numbers

open access: yes, 2016
We present a topological recursion formula for calculating the intersection numbers defined on the moduli space of open Riemann surfaces. The spectral curve is $x = \frac{1}{2}y^2$, the same as spectral curve used to calculate intersection numbers for ...
Safnuk, B.
core   +2 more sources

A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry

open access: yes, 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
core   +1 more source

Rigid fibers of spinning tops [PDF]

open access: yes, 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
core   +1 more source

On semisimplicity of quantum cohomology of $\mathbb P^1$-orbifolds

open access: yes, 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
core   +1 more source

De Rham cohomology and homotopy Frobenius manifolds

open access: yes, 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
core   +3 more sources

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