Results 21 to 30 of about 259 (35)

Singular polynomials from orbit spaces [PDF]

open access: yes, 2012
We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Alexey Silantyev, Dubrovin, Misha Feigin
core   +2 more sources

Quantum SU(2) faithfully detects mapping class groups modulo center

open access: yes, 2002
The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k.
Andersen   +9 more
core   +2 more sources

Stokes matrices for the quantum differential equations of some Fano varieties [PDF]

open access: yes, 2014
The classical Stokes matrices for the quantum differential equation of projective n-space are computed, using multisummation and the so-called monodromy identity. Thus, we recover the results of D.
B Dubrovin   +7 more
core   +2 more sources

An introduction to the theory of Higher rank stable pairs and Virtual localization

open access: yes, 2012
This article is an attempt to briefly introduce some of the results from arXiv:1011.6342 on development of a higher rank analog of the Pandharipande-Thomas theory of stable pairs on a Calabi-Yau threefold X. More precisely, we develop a moduli theory for
Sheshmani, Artan
core   +1 more source

Some tt* structures and their integral Stokes data [PDF]

open access: yes, 2012
In "Isomonodromy aspects of the tt* equations of Cecotti and Vafa I. Stokes data" (arxiv:1209.2045) we described all smooth solutions of the two-function tt*-Toda equations in terms of asymptotic data, holomorphic data, and monodromy data.
Guest, Martin A., Lin, Chang-Shou
core   +1 more source

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

Belorousski-Pandharipande relation in dGBV algebras

open access: yes, 2006
We prove that the genus expansion of solutions of the WDVV equation constructed from dGBV algebras satisfy the differential equation determined by the Belorousski-Pandharipande relation in cohomology of the moduli space of curves $\bar{\mathcal{M}}_{2,3}$
Belorousski   +5 more
core   +1 more source

Non-contractible Hamiltonian loops in the kernel of Seidel's representation

open access: yes, 2017
The main purpose of this note is to exhibit a Hamiltonian diffeomorphism loop undetected by the Seidel morphism of certain 2-point blow-ups of $S^2 \times S^2$, exactly one of which being monotone.
Anjos, Sílvia, Leclercq, Rémi
core   +1 more source

Symplectic Manifolds with Vanishing Action-Maslov Homomorphism

open access: yes, 2011
The action--Maslov homomorphism $I\co\pi_1(\text{Ham}(X,\omega))\to\R$ is an important tool for understanding the topology of the Hamiltonian group of monotone symplectic manifolds.
Lee   +6 more
core   +1 more source

Potentials of a Frobenius like structure

open access: yes, 2017
This paper proves the existence of potentials of the first and second kind of a Frobenius like structure in a frame which encompasses families of arrangements. The frame uses the notion of matroids.
Hertling, Claus, Varchenko, Alexander
core   +1 more source

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