The paper associates Lagrangian submanifolds in symplectic toric varieties to certain tropical curves inside the convex polyhedral domains of $\R^n$ that appear as the images of the moment map...
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Monday, 19 February, 2018
arXiv:1802.06473
Wednesday, 14 February, 2018
We consider Zd, with d bigger or equal to three. We investigate the vacant set of random interlacements in the strongly percolative regime, the vacant set of the simple random walk,...
arXiv:1802.05255
Monday, 12 February, 2018
The triadic description of general relativity in three dimensions is known to be a BF theory. Diffeomorphisms, as symmetries, are easily recovered on-shell from the symmetries of BF theory. This...
Lett Math Phys (2018)
Wednesday, 7 February, 2018
How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current -- a non-conserved...
arXiv:1802.02319
Wednesday, 7 February, 2018
We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.
arXiv:1802.02491
Friday, 2 February, 2018
We study ordered configuration spaces of compact manifolds with boundary. We show that for a large class of such manifolds, the real homotopy type of the configuration spaces only depends on the...
arXiv:1802.00716
Thursday, 1 February, 2018
We classify non-symplectic automorphisms of odd prime order on irreducible holomorphic symplectic manifolds which are deformations of Hilbert schemes of any number n of points on K3 surfaces,...
arXiv:1802.00192
Monday, 29 January, 2018
We study one-dimensional insulators obeying a chiral symmetry in the single-particle picture. The Fermi level is assumed to lie in a mobility gap. Topological indices are defined for infinite (...
arXiv:1801.09487
Wednesday, 24 January, 2018
About 30 years ago, in a joint work with L. Faddeev we introduced a geometric action on coadjoint orbits. This action, in particular, gives rise to a path integral formula for characters of the...
arXiv:1801.07963
Wednesday, 17 January, 2018
We study automorphisms of the Hilbert scheme of n points on a generic projective K3 surface S, for any n \geq 2. We show that the automorphism group of S^{[n]} is either trivial or generated by...
arXiv:1801.05682
Wednesday, 17 January, 2018
We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice {\mathbb Z}^d in which weights take finitely many values is typically exponentially large...
arXiv:1801.05777
Monday, 15 January, 2018
The known Pfaffian structure of the boundary spin correlations, and more generally order-disorder correlation functions, is given a new explanation through simple topological considerations...
arXiv:1801.04960