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...

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...

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...

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...

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