It is known that the mapping class group of a compact surface S, MCG(S), acts ergodically with respect to symplectic measure on each symplectic leaf of the Poisson moduli space of flat SU(2)-bundles over S, X(S, SU(2)). In our study of how individual mapping classes act on X, we show that ergodicity does not restrict to that of cyclic subgroups of MCG(S1,1), for S1,1 a punctured torus. The acti...

We describe homomorphisms $$\varphi :H\rightarrow G$$ for which G is acylindrically hyperbolic and H a topological group either completely metrizable or locally countably compact Hausdorff. It shown that, in certain sense, the image of $$ small almost continuous. also from Hawaiian earring to as above. prove more precise result {\text {Mod}}(\Sigma )$$ , where above $${\text mapping class conne...

where DaUk converges strongly to Dau in L2(Q). Furthermore, daf(uk)Dv converges strongly to da,,(u)Dv in L2(Q) by dominated convergence. Hence, each term in the sum for a (u k, V) converges to the corresponding term in the sum for a(u, v), (G(uk), v)m . (G(u), v)m for each v in V, and the proof of Lemma 3 is complete. Proof of Theorem 1: By Lemma 2, it suffices to show that the mapping G is one...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}...

‎the purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex banach space which has a‎ ‎uniformly g^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

A graph G is said to have a totally magic cordial labeling with constant C if there exists a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + f(b) + f(ab) ≡ C (mod 2) for all ab ∈ E(G) and |nf (0) − nf (1)| ≤ 1, where nf (i) (i = 0, 1) is the sum of the number of vertices and edges with label i. In this paper, we give a necessary condition for an odd graph to be not totally magic cordial and ...