The extended BMS group includes supertranslation, dual supertranslation and Lorentz transformations. The generators of these symmetries can be classified according to their parity into “electric” and “magnetic” types. Using a

# Tamarkin-Tsygan Calculus and Chiral Poisson Cohomology. (arXiv:2011.06055v1 [math.AG])

We construct and study some vertex theoretic invariants associated to Poisson varieties, specialising in the conformal weight $0$ case to the familiar package of Poisson homology and cohomology. In order

# On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model. (arXiv:2011.06109v1 [math-ph])

We consider the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The inhomogeneous version of this model can be solved by Separation of Variables (SoV). We compute in this framework

# The Geometry of Time in Topological Quantum Gravity of the Ricci Flow. (arXiv:2011.06230v1 [hep-th])

We continue the study of topological nonrelativistic quantum gravity associated with a family of Ricci flow equations on Riemannian manifolds. This topological gravity is of the cohomological type, and it

# Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions. (arXiv:2011.06292v1 [math-ph])

We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in $GL(N,\mathbb{C})$ can be written in terms of a Fredholm determinant of Cauchy-Plemelj operators.

# Invariance properties of random curves: an approach based on integral geometry. (arXiv:2011.06343v1 [math-ph])

Traveled lengths statistic is a key quantity for characterizing stochastic processes in bounded domains. For straight lines and diffusive random walks, the average length of the trajectories through the domain

# Perturbatively conserved higher nonlocal charges of free-surface deep-water gravity waves. (arXiv:2011.06400v1 [physics.flu-dyn])

We exhibit a set of six explicit higher nonlocal charges of free-surface deep-water gravity waves conserved in lowest nontrivial orders of perturbation in the amplitude of the surface displacement.

# Noncommutative integration of the Dirac equation in homogeneous spaces. (arXiv:2011.06401v1 [math-ph])

We develop a noncommutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of equations

# Fonctions sp\’eciales et polyn\^omes orthogonaux: cours et exercices corrig\’es. (arXiv:2011.06410v1 [math.HO])

This report (written in French) is devoted to studying special functions the most used in physics. Special functions are a very broad branch of mathematics, theoretical physics, and mathematical physics.

# Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms. (arXiv:2011.06497v1 [quant-ph])

In this work, we investigate measurement incompatibility in general probabilistic theories (GPTs). We show several equivalent characterizations of compatible measurements. The first is in terms of the positivity of associated