Results 21 to 30 of about 267 (35)

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

Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes [PDF]

, 2012
The degree zero part of the quantum cohomology algebra of a smooth Fano toric symplectic manifold is determined by the superpotential function, W, of its moment polytope. In particular, this algebra is semisimple, i.e.
Alexander Givental, Benjamin Nill, Benjamin P. Mirabelli, D. McDuff, David Cox, Günter Ewald, J. Lagarias, K. Fukaya, M. Entov, Maksim Maydanskiy, Matthew Strom Borman, Michael Usher, Mikkel Obro, Robin Hartshorne, T. Delzant, W. Fulton, Wilhelm Ljunggren, William Fulton, Y. Eliashberg, Y. Ostrover, Yaron Ostrover   +20 more
core   +1 more source

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

Frobenius manifolds and Frobenius algebra-valued integrable systems [PDF]

, 2017
The notion of integrability will often extend from systems with scalar-valued fields to systems with algebra-valued fields. In such extensions the properties of, and structures on, the algebra play a central role in ensuring integrability is preserved ...
Strachan, Ian A.B., Zuo, Dafeng
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

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

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