Results 151 to 160 of about 5,027 (259)
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
On the decomposition of sets of reals to borel sets
Levy, A., Solovay, R.M.
openaire +2 more sources
Probabilistic correlation functions of the Schwarzian field theory
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
Coulomb branch algebras via symplectic cohomology
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
$\sigma$-homogeneity of Borel sets
We give an affirmative answer to the following question: Is any Borel subset of a Cantor set $\textbf{ C}$ a sum of a countable number of pairwise disjoint $h$-homogeneous subspaces that are closed in $X$? It follows that every Borel set $X \subset \textbf{ R}^n$ can be partitioned into countably many $h$-homogeneous subspaces that are $G_{\delta ...
openaire +2 more sources
G la̧b, Ideals with bases of unbounded Borel complexity
We present several naturally defined σ-ideals which have Borel bases but, unlike for the classical examples, these bases are not of bounded Borel complexity.
Piotr Borodulin-Nadzieja, Szymon G Lab
core
Generalizing classical descriptive set theory opens foundational questions about the Borel hierarchy. In this paper we systematically study those questions, working in the general framework of Polish-like spaces relative to an uncountable cardinal $κ$, possibly singular, satisfying $2^{<κ}=κ$.
Agostini, Claudio +3 more
openaire +2 more sources
Maximal Dissipation and Well-Posedness of the Euler System of Gas Dynamics. [PDF]
Feireisl E +2 more
europepmc +1 more source
Disjoint Infinity Borel Functions
Consider the statement that every uncountable set of reals can be surjected onto R by a Borel function. This is implied by the statement that every uncountable set of reals has a perfect subset.
Hathaway, Daniel
core

