We prove the generalised McKay correspondence for isolated singularities using Floer theory. Given an singularity $\mathbb{C}^n / G$ a finite subgroup $G \subset SL(n, \mathbb{C})$ and any crepant resolution $Y$, we that rank of positive symplectic cohomology $SH^{\ast}_{+} (Y)$ is number $\lvert \operatorname{Conj}(G) \rvert$ conjugacy classes $G$, twice age grading on $\mathbb{Z}$-grading $SH...

Motivated by the group of Galilean transformations and subgroup which fix time zero, we introduce notion a $b$-Lie as pair $(G,H)$ where $G$ is Lie $H$ codimension-one subgroup. Such allows us to give theoretical framework for space-time initial can be seen boundary. In this framework, develop basics theory study associated canonical $b$-symplectic structure on $b$-cotangent bundle $^b {T}^\ast...

Abstract The ground vector meson has not yet been experimentally discovered until now. Besides the dominant electromagnetic decays, nonleptonic weak decays provide another choice to search for mysterious mesons. Inspired by potential prospects of mesons in future high-luminosity colliders, induced bottom and charm quark are studied within SM using a naive factorizatio...

For a positive integer m, let f(m) be the maximum value t such that any graph with m edges has a bipartite subgraph of size at least t, and let g(m) be the minimum value s such that for any graph G with m edges there exists a bipartition V (G) = V1 ∪ V2 such that G has at most s edges with both incident vertices in Vi. Alon proved that the limsup of f(m)− (m/2 + √ m/8) tends to infinity as m te...

In this paper a new cooperative transmission scheme is proposed that enjoys some important advantages over similar protocols First it achieves cooperative diversity without relying on orthogonal subspaces e g di erent spreading codes or frequency bands allowing full rate transmission Second its performance degrades gracefully as the path loss between cooperating partners increases never falling...