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...

In this paper, we first discuss about canonical dual of g<span style="font-family: NimbusRomNo9L-Regu; font-size: 11pt; color: #000000; font...

AIM Profiles of orthodontic tooth movement biomarkers, i.e., Lactate Dehydrogenase (LDH), Aspartate Aminotransferase (AST), Tartrate-resistant Acid Phosphatase (TRAP) and Alkaline Phosphatase (ALP), using Self-ligating Brackets (SLBs) and possible relationships among their activities and total enzymes produced were determined. METHODS Saliva and Gingival Crevicular Fluid (GCF) were collected ...

Given a countable group $G$ splitting as free product $G=G_1\ast\dots\ast G_k\ast F_N$, we establish classification results for subgroups of the $Out(G,\mathcal{F})$ all outer automorphisms that preserve conjugacy classes each $G_i$. We show every finitely generated subgroup $H\subseteq Out(G,\mathcal{F})$ either contains relatively fully irreducible automorphism, or else it virtually preserves...

let $g$ be an $(n,m)$-graph. we say that $g$ has property $(ast)$if for every pair of its adjacent vertices $x$ and $y$, thereexists a vertex $z$, such that $z$ is not adjacentto either $x$ or $y$. if the graph $g$ has property $(ast)$, thenits complement $overline g$ is connected, has diameter 2, and itswiener index is equal to $binom{n}{2}+m$, i.e., the wiener indexis insensitive of any other...

‎In this paper‎, ‎first we develop the duality concept for $g$-Bessel sequences‎ ‎and Bessel fusion sequences in Hilbert spaces‎. ‎We obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎We also expand every $g$-Bessel ‎sequence to a frame by summing some elements‎. ‎We define the restricted isometry property for ‎$g$-frames and generalize some resu...

Assumptions Intermediate language: RISC-like 3-address code‡ Intermediate Code Generation (ICG) is independent of target ISA Storage layout has been pre-determined Infinite number of registers + Frame Pointer (FP) Q. What values can live in registers? ‡ ILOC: Cooper and Torczon, Appendix A. Strategy 1. Simple bottom-up tree-walk on AST 2. Translation uses only local info: current AST node + chi...