Results 21 to 30 of about 287 (57)
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 +3 more
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
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
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 +16 more
core +2 more sources
Differential and Functional Identities for the Elliptic Trilogarithm [PDF]
, 2009 When written in terms of $\vartheta$-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are derivatives (including ...
Strachan, Ian A. B.
core +4 more sources
Rigid fibers of spinning tops [PDF]
, 2020 (Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable systems containing the Lagrangian top, the Kovalevskaya top and the C.
Kawasaki, Morimichi, Orita, Ryuma
core +1 more source
Potentials of a Frobenius like structure
, 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
Minimal symplectic atlases of Hermitian symmetric spaces [PDF]
, 2015 In this paper we compute the minimal number of Darboux chart needed to cover a Hermitian symmetric space of compact type in terms of the degree of their embeddings in $\mathbb{C} P^N$. The proof is based on the recent work of Y. B. Rudyak and F. Schlenk [
Mossa, Roberto, Placini, Giovanni
core +1 more source
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
Universal manifold pairings and positivity [PDF]
, 2005 Gluing two manifolds M_1 and M_2 with a common boundary S yields a closed manifold M. Extending to formal linear combinations x=Sum_i(a_i M_i) yields a sesquilinear pairing p= with values in (formal linear combinations of) closed manifolds.
Akbulut +15 more
core +9 more sources