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Monday, 8 September, 2014
Rahul Pandharipande, Jake P. Solomon, Ran J. Tessler

We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the τ-function of an open KdV heirarchy. A...

arXiv:1409.2191
Saturday, 6 September, 2014
Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov

Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the...

Friday, 5 September, 2014
Santiago Codesido, Alba Grassi, Marcos Mariño

In this paper, we show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this...

arXiv:1409.1799
Thursday, 4 September, 2014
Matthijs Hogervorst, Slava Rychkov, Balt van Rees

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian...

arXiv
Wednesday, 3 September, 2014
Jørgen Ellegaard Andersen, Rinat Kashaev

We lay down a general framework for how to construct a Topological Quantum Field Theory $Z_A$ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self-dual locally...

arXiv:1409.1208
Wednesday, 3 September, 2014
Anna Beliakova, Zaur Guliyev, Kazuo Habiro, Aaron D. Lauda

Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called "decategorification" functor. Algebras...

arXiv:1409.1198
Saturday, 30 August, 2014
Victor Tourtchine, Thomas Willwacher

It is shown that the operad maps E_n→E_{n+k} are formal over the reals for k≥2 and non-formal for k=1. Furthermore we compute the cohomology of the deformation complex of the operad maps E_n→E_{...

Thursday, 14 August, 2014
Julian Adamek, Ruth Durrer, Martin Kunz

We present a framework for general relativistic N-body simulations in the regime of weak gravitational fields. In this approach, Einstein's equations are expanded in terms of metric...

arXiv:1408.3352
Friday, 11 July, 2014
S. Katz, A. Klemm, R. Pandharipande

For a K3 surface S, we study motivic invariants of stable pairs moduli spaces associated to 3-fold thickenings of S. We conjecture suitable deformation and divisibility invariances for the Betti...

arXiv:1407.3181
Friday, 11 July, 2014
Marco Gualtieri, Songhao Li, Alvaro Pelayo, Tudor Ratiu

We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the...

arXiv:1407.3300
Thursday, 3 July, 2014
Vasile Brînzănescu, Tudor S. Ratiu

The goal of this paper is the proof of the algebraic complete integrability of the Bloch–Iserles Hamiltonian system. This result was conjectured in “A class of integrable flows on the space of...

International Mathematics Research Notices

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