Thursday, 6 August, 2015
Anton Khoroshkin, Thomas Willwacher, Marko Živković

We study the cohomology of the hairy graph complexes which compute the rational homotopy of embedding spaces, generalizing the Vassiliev invariants of knot theory. We provide spectral sequences...

Thursday, 30 July, 2015
Victor Turchin, Thomas Willwacher

We show that the Hochschild-Pirashvili homology on wedges of circles produces new representations of Out(F_n) that do not factor in general through GL(n,Z). The obtained representations are...

Wednesday, 29 July, 2015
Dmitry Chelkak, David Cimasoni, Adrien Kassel

We provide a concise exposition with original proofs of combinatorial formulas for the 2D Ising model partition function, multi-point fermionic observables, spin and energy density correlations...

Tuesday, 28 July, 2015
Norbert Hungerbühler, Thomas Mettler, Micha Wasem

Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact 3-manifold can be approximated by a Legendrian curve.

Wednesday, 22 July, 2015
Anton Alekseev, Olga Chekeres, Pavel Mnev

Wilson lines in gauge theories admit several path integral descriptions. The first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over coadjoint orbits. The second one (due to...

Thursday, 16 July, 2015
François Gay-Balmaz, Tudor S. Ratiu

On the identity component of the universal Teichmüller space endowed with the Takhtajan–Teo topology, the geodesics of the Weil–Petersson metric are shown to exist for all time. This component...

Advances in Mathematics, Vol 279, July 2015, Pages 717–778
Thursday, 16 July, 2015
Antonio Amariti, Claudius Klare, Domenico Orlando, Susanne Reffert

We show that global properties of gauge groups can be understood as geometric properties in M-theory. Different wrappings of a system of N M5-branes on a torus reduce to four-dimensional...

Monday, 13 July, 2015
Eugene V. Sukhorukov

Between many prominent contributions of Markus Büttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for it's elegance, simplicity,...

Wednesday, 8 July, 2015
Santiago Codesido, Alba Grassi, Marcos Marino

Recently, a correspondence has been proposed between spectral theory and topological strings on toric Calabi-Yau manifolds. In this paper we develop in detail this correspondence for mirror...

Monday, 6 July, 2015
Vincent Beffara, Hugo Duminil-Copin, Stanislav Smirnov

The critical surface for random-cluster model with cluster-weight q≥4 on isoradial graphs is identified using parafermionic observables. Correlations are also shown to decay exponentially fast...

Sunday, 5 July, 2015
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin

This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV-BFV)...

Thursday, 2 July, 2015
Alina Marian, Dragos Oprea, Rahul Pandharipande

We prove a closed formula for the integrals of the top Segre classes of tautological bundles over the Hilbert schemes of points of a K3 surface X. We derive relations among the Segre classes via...