Results 31 to 40 of about 288 (46)

Relative quantum cohomology of the Chiang Lagrangian

Forum of Mathematics, Sigma
We compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_\triangle \subset \mathbb {C}P^3$ .
Anna Hollands, Elad Kosloff, May Sela, Qianyi Shu, Jake P. Solomon   +4 more
doaj   +1 more source

The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints [PDF]

, 2014
The total descendent potential of a simple singularity satisfies the Kac-Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a highest weight vector for the corresponding W-algebra.
van de Leur, Johan
core   +2 more sources

Worldsheet Instantons and Torsion Curves [PDF]

, 2008
We study aspects of worldsheet instantons relevant to a heterotic standard model. The non-simply connected Calabi-Yau threefold used admits Z_3 x Z_3 Wilson lines, and a more detailed investigation shows that the homology classes of curves are H_2(X,Z)=Z^
Braun, Volker, Kreuzer, Maximilian, Ovrut, Burt A., Scheidegger, Emanuel   +3 more
core   +1 more source

Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations [PDF]

, 2008
The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms.
B. Dubrovin, I.A.B. Strachan, I.M. Krichever, I.M. Krichever, Ian A. B. Strachan, J-H. Chang, J-H. Chang, J. Gibbons, J.-B. Zuber, James T. Ferguson, L. David, L.V. Bogdanov, M.V. Feigin, R. Martini, S. Aoyama, S. Aoyama, T. Eguchi   +16 more
core   +2 more sources

The Stokes Phenomenon and Some Applications [PDF]

, 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

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

, 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

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

, 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, Kauffman, Kevin Walker, Korkmaz, Köerbe, Lickorish, Michael H Freedman, Turaev, Witten, Zhenghan Wang   +9 more
core   +2 more sources

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

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

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