Publications for year 2014


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...

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...

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...

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...

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...

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...

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...

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...