# Publications for year 2017

## Pages

Monday, 13 March, 2017
Wei Qian, Wendelin Werner

We describe level-line decompositions of the two-dimensional Gaussian Free Field (GFF) with free boundary conditions. In particular, we point out a simple way to couple the GFF with free...

arXiv:1703.04350
Thursday, 9 March, 2017
Connor Behan, Leonardo Rastelli, Slava Rychkov, Bernardo Zan

The d-dimensional long-range Ising model, defined by spin-spin interactions decaying with the distance as the power 1/r^{d+s}, admits a second order phase transition with continuously varying...

arXiv:1703.03430
Monday, 6 March, 2017
Rahul Pandharipande

We survey here the construction and the basic properties of descendent invariants in the theory of stable pairs on nonsingular projective 3-folds. The main topics covered are the rationality of...

arXiv:1703.01747
Tuesday, 28 February, 2017
Anton Alekseev, Florian Naef, Xiaomeng Xu, Chenchang Zhu

Descent equations play an important role in the theory of characteristic classes and find applications in theoretical physics, e.g. in the Chern-Simons field theory and in the theory of...

arXiv:1702.08857
Sunday, 26 February, 2017
Giovanni Felder, Richard Rimanyi, Alexander Varchenko

We define an elliptic version of the stable envelope of Maulik and Okounkov for the equivariant elliptic cohomology of cotangent bundles of Grassmannian. It is a version of the construction...

arXiv:1702.08060
Tuesday, 21 February, 2017
Noé Cuneo, Jean-Pierre Eckmann, C. Eugene Wayne

We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov-Arnol'd-Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart...

arXiv:1702.06464
Monday, 20 February, 2017
Hyenho Lho, Rahul Pandharipande

We study the fundamental relationship between stable quotient invariants and the B-model for local CP2 in all genera. Our main result is a direct geometric proof of the holomorphic anomaly...

arXiv:1702.06096
Sunday, 19 February, 2017
Norbert Hungerbühler

The classical quadratic formula and some of its lesser known variants for solving the quadratic equation are reviewed. Then, a new formula for the roots of a quadratic polynomial is presented....

arXiv:1702.05789
Sunday, 19 February, 2017
Alexander Paunov, András Szenes

In this paper, we study positivity phenomena for the e-coefficients of Stanley's chromatic function of a graph. We introduce a new combinatorial object: the {\em correct} sequences of unit...

arXiv:1702.05791
Thursday, 16 February, 2017
Jason Miller, Wendelin Werner

The goal of the present paper is to explain, based on properties of the conformal loop ensembles CLE_\kappa (both with simple and non-simple loops, i.e., for the whole range \kappa \in (8/3, 8)...

arXiv:1702.02919
Thursday, 16 February, 2017
Matthias R. Gaberdiel, Rajesh Gopakumar, Wei Li, Cheng Peng

The relation between the bosonic higher spin {\cal W}_\infty[\lambda] algebra, the affine Yangian of \mathfrak{gl}_{1}, and the SHc algebra is established in detail. For generic \lambda we find...

arXiv:1702.05100
Wednesday, 15 February, 2017
Thomas Willwacher

We study pre-Lie pairs, by which we mean a pair of a homotopy Lie algebra and a pre-Lie algebra with a compatible pre-Lie action. Such pairs provide a wealth of algebraic structure, which in...

arXiv:1702.04504