Results 41 to 46 of about 288 (46)

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

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

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

Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy

open access: yes, 2006
We present in this paper a differential version of Mirzakhani's recursion relation for the Weil-Petersson volumes of the moduli spaces of bordered Riemann surfaces.
Mulase, Motohico, Safnuk, Brad
core   +1 more source
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