Results 31 to 34 of about 267 (34)

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
core   +1 more source

Old and New Reductions of Dispersionless Toda Hierarchy [PDF]

, 2012
This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of "Landau-Ginzburg potentials" that play the role of reduced Lax functions. One
Takasaki, Kanehisa
core   +3 more sources

On the injectivity radius in Hofer's geometry

, 2014
In this note we consider the following conjecture: given any closed symplectic manifold $M$, there is a sufficiently small real positive number $\rho$ such that the open ball of radius $\rho$ in the Hofer metric centered at the identity on the group of ...
Lalonde, François, Savelyev, Yakov
core   +1 more source

Topological recursion for open intersection numbers

, 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