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Thursday, 18 December, 2014
Ruth Durrer, Elena Sellentin

Three relativistic particles in addition to the photon are detected in the cosmic microwave background (CMB). In the standard model of cosmology, these are interpreted as the three neutrino...

arXiv:1412.6427
Thursday, 18 December, 2014
Giulia Cusin, Ruth Durrer, Pietro Guarato, Mariele Motta

In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the {\Lambda}CDM background and large scale structure. We show that in general...

arXiv:1412.5979
Monday, 15 December, 2014
Grigory Mikhalkin

An n-dimensional algebraic variety in ({\mathbb C}^\times)^{2n} covers its amoeba as well as its coamoeba generically finite-to-one. We provide an upper bound for the volume of these amoebas as...

Thursday, 11 December, 2014
Ricardo Campos, Thomas Willwacher

We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an...

Wednesday, 10 December, 2014
Slava Rychkov, Lorenzo G. Vitale

We defend the Fock-space Hamiltonian truncation method, which allows to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and...

Wednesday, 10 December, 2014
Anton Alekseev, Anna Lachowska, Elise Raphael

The Kashiwara-Vergne Lie algebra krv encodes symmetries of the Kashiwara-Vergne problem on the properties of the Campbell-Hausdorff series. It is conjectures that krv≅Kt⊕grt_1, where t is a...

arXiv:1412.3323
Wednesday, 3 December, 2014
Anna Beliakova, Kazuo Habiro, Aaron D. Lauda, Ben Webster

We identify the trace, or 0th Hochschild homology, of type ADE categorified quantum groups with the corresponding current algebra of the same type. To prove this, we show that 2-representations...

arXiv:1412.1417
Monday, 1 December, 2014
Maxime Gagnebin, Yvan Velenik

We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, O(N)-symmetric interactions, for which we establish algebraically...

Communications in Mathematical Physics, December 2014, Volume 332, Issue 3
Thursday, 27 November, 2014
Yves Dirian, Stefano Foffa, Martin Kunz, Michele Maggiore, Valeria Pettorino

We study the cosmological predictions of two recently proposed non-local modifications of General Relativity. Both models have the same number of parameters as ΛCDM, with a mass parameter m...

arXiv:1411.7692
Saturday, 22 November, 2014
Stavros Garoufalidis, Rinat Kashaev

Multi-dimensional state-integrals of products of Faddeev's quantum dilogarithms arise frequently in Quantum Topology, quantum Teichmuller theory and complex Chern--Simons theory. Using the quasi...

arXiv:1411.6062
Sunday, 16 November, 2014
Anna Beliakova, Christian Blanchet, Eva Contreras

Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study structures on modular categories which allow to define refinements of quantum 3-manifold...

arXiv:1411.4232
Monday, 10 November, 2014
Anton Khoroshkin, Thomas Willwacher, Marko Živković

We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph...

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