Independence and strong independence complexes of finite groups
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley +1 more source
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
Bioengineering Support in the Assessment and Rehabilitation of Low Back Pain. [PDF]
Varrassi G +4 more
europepmc +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Advancements in Dental Science through Artificial Intelligence and Machine Learning: A Comprehensive Review. [PDF]
Sharma A, Agarwal N.
europepmc +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
Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Alaa Tawfik M, Newton R.
europepmc +1 more source
Advances in methods for characterising dietary patterns: a scoping review. [PDF]
Hutchinson JM +16 more
europepmc +1 more source
Safety Integrity Level (SIL) assessment process for WSN using multi-QoS metrics. [PDF]
Srinivasan S, Ramesh TK, Paccapeli R.
europepmc +1 more source
Structured Dynamics in the Algorithmic Agent. [PDF]
Ruffini G, Castaldo F, Vohryzek J.
europepmc +1 more source

