Results 31 to 40 of about 287 (57)

Generalized Legendre transformations and symmetries of the WDVV equations [PDF]

open access: yes, 2016
The Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations, as one would expect from an integrable system, has many symmetries, both continuous and discrete. One class - the so-called Legendre transformations - were introduced by Dubrovin.
Stedman, Richard, Strachan, Ian A. B.
core   +2 more sources

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

The Stokes Phenomenon and Some Applications [PDF]

open access: yes, 2015
Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed.
van der Put, Marius
core   +3 more sources

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

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

Givental graphs and inversion symmetry

open access: yes, 2012
Inversion symmetry is a very non-trivial discrete symmetry of Frobenius manifolds. It was obtained by Dubrovin from one of the elementary Schlesinger transformations of a special ODE associated to a Frobenius manifold.
A. Buryak   +18 more
core   +1 more source

Finite TYCZ expansions and cscK metrics

open access: yes, 2019
Let $(M, g)$ be a Kaehler manifold whose associated Kaehler form $\omega$ is integral and let $(L, h)\rightarrow (M, \omega)$ be a quantization hermitian line bundle.
Loi, A., Mossa, R., Zuddas, F.
core   +1 more source

Holomorphic jets in symplectic manifolds

open access: yes, 2014
We define pointwise partial differential relations for holomorphic discs. Given a relative homotopy class, a relation, and a generic almost complex structure we provide the moduli space of discs which have an injective point with the structure of a ...
Zehmisch, Kai
core   +1 more source
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The differential geometry of the orbit space of extended affine Jacobi group A

Journal of Geometry and Physics, 2022
Guilherme Feitosa de almeida
exaly  

Symplectic homology of complements of smooth divisors

Journal of Topology, 2019
Luis Diogo
exaly  

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