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.

# Publications

## Pages

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...

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,...

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 (...

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...

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...

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...

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...

Let D be an oriented link diagram with the set of regions r_{D}. We define a symmetric map (or matrix) \operatorname{\tau}_ {D}\colon\operatorname{r}_ {D}\times \operatorname{r}_ {D} \to...

There has been growing evidence that cooperative interactions and configurational rearrangements underpin protein functions. But in spite of vast genetic and structural data, the information-...

We investigate the corrections which relativistic light-cone computations induce on the correlation of the tangential shear with galaxy number counts, also known as galaxy-galaxy lensing. The...

We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a weak, repulsive potential with scattering length of the order N^{−1}(Gross-...