Publications

Pages

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...

Thursday, 6 November, 2014
G. Oberdieck, R. Pandharipande

Let S be a nonsingular projective K3 surface. Motivated by the study of the Gromov-Witten theory of the Hilbert scheme of points of S, we conjecture a formula for the Gromov-Witten theory (in...

arXiv:1411.1514
Tuesday, 4 November, 2014
Niels Benedikter, Vojkan Jaksic, Marcello Porta, Chiara Saffirio, Benjamin Schlein

In this paper we study the dynamics of fermionic mixed states in the mean-field regime. We consider initial states which are close to quasi-free states and prove that, under suitable assumptions...

Tuesday, 4 November, 2014
R. Pandharipande, R. P. Thomas

The Katz-Klemm-Vafa conjecture expresses the Gromov-Witten theory of K3 surfaces (and K3-fibred 3-folds in fibre classes) in terms of modular forms. Its recent proof gives the first non-toric...

arXiv:1411.0896
Tuesday, 28 October, 2014
Alba Grassi, Yasuyuki Hatsuda, Marcos Mariño

The partition function of ABJ(M) theories on the three-sphere can be regarded as the canonical partition function of an ideal Fermi gas with a non-trivial Hamiltonian. We propose an exact...

arXiv:1410.7658
Wednesday, 15 October, 2014
Anton Alekseev, Maria Podkopaeva, Andras Szenes

In this paper, we give a symplectic proof of the Horn inequalities on eigenvalues of a sum of two Hermitian matrices with given spectra. Our method is a combination of tropical calculus for...

Tuesday, 14 October, 2014
Stéphane Benoist, Hugo Duminil-Copin, Clément Hongler

We prove that crossing probabilities for the critical planar Ising model with free boundary conditions are conformally invariant in the scaling limit, a phenomenon first investigated numerically...

arXiv:1410.3715
Monday, 13 October, 2014
Alba Grassi, Yasuyuki Hatsuda, Marcos Mariño

In this paper, we propose a general correspondence which associates a non-perturbative quantum-mechanical operator to a toric Calabi-Yau manifold, and we conjecture an explicit formula for its...

arXiv:1410.3382
Tuesday, 30 September, 2014
Yuri Berest, Giovanni Felder, Sasha Patotski, Ajay C. Ramadoss, Thomas Willwacher

We study the derived representation scheme DRep_n(A) parametrizing the n-dimensional representations of an associative algebra A over a field of characteristic zero. We show that the homology of...

Thursday, 18 September, 2014
Hugo Duminil-Copin, Dmitry Ioffe, Yvan Velenik

We consider translationally-invariant percolation models on Z^d satisfying the finite energy and the FKG properties. We provide explicit upper bounds on the probability of having two distinct...

arXiv:1409.5199
Friday, 12 September, 2014
Hugo Duminil-Copin, Ioan Manolescu

We prove that random-cluster models with q larger than 1 on a variety of planar lattices have a sharp phase transition, that is that there exists some parameter p_c below which the model...

arXiv:1409.3748

Pages