Results 21 to 30 of about 267 (34)

A mirror theorem for Gromov-Witten theory without convexity

Forum of Mathematics, Sigma
We prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets.
Jun Wang
doaj   +1 more source

Theory of Submanifolds, Associativity Equations in 2D Topological Quantum Field Theories, and Frobenius Manifolds

, 2006
We prove that the associativity equations of two-dimensional topological quantum field theories are very natural reductions of the fundamental nonlinear equations of the theory of submanifolds in pseudo-Euclidean spaces and give a natural class of ...
B. Dubrovin, O. I. Mokhov, O. I. Mokhov
core   +2 more sources

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

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

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

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

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

Frobenius 3-Folds via Singular Flat 3-Webs [PDF]

, 2012
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ ...
Agafonov, Sergey I.
core   +5 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