Zobrazeno 1 - 10
of 159 709
pro vyhledávání: '"P. A. Sullivan"'
We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in '96, is the only locally linear extension map taking bi-Lipschitz fun
Externí odkaz:
http://arxiv.org/abs/2409.19805
Autor:
Zhou, Jiawei
We prove that the morphisms from a minimal Sullivan algebra $\Lambda V$ to $A_{PL}(|\Lambda V|)$, the algebra of polynomial differential forms on its realization, can be quasi-isomorphic if and only if the cohomology $H(\Lambda V)$ is of finite type.
Externí odkaz:
http://arxiv.org/abs/2407.20881
The purpose of this work is to do a systematic feasibility study of measuring in backward region deeply virtual Compton scattering on the pion in Sullivan processes in the framework of collinear QCD factorization where pion to photon transition distr
Externí odkaz:
http://arxiv.org/abs/2407.03011
Autor:
Liu, Fei
In this paper, we clarify the strong relationship between Myrberg type dynamics and the ergodic properties of the geodesic flows on (not necessarily compact) uniform visibility manifolds without conjugate points. We prove that the positivity of the P
Externí odkaz:
http://arxiv.org/abs/2407.00910
In this paper we develop a theory of Patterson--Sullivan measures associated to coarse cocycles of convergence groups. This framework includes Patterson-Sullivan measures associated to the Busemann cocycle on the geodesic boundary of a Gromov hyperbo
Externí odkaz:
http://arxiv.org/abs/2404.09713
Autor:
Galvin, Daniel A. P.
We investigate the realisability of the Casson-Sullivan invariant for homeomorphisms of smooth $4$-manifolds, which is the obstruction to a homeomorphism being stably pseudo-isotopic to a diffeomorphism, valued in the third cohomology of the source m
Externí odkaz:
http://arxiv.org/abs/2405.07928
Autor:
Zhou, Jiawei
This paper addresses a question posed by F\'elix, Halperin and Thomas. We prove that the Lusternik-Schnirelmann category of a relative Sullivan algebra is finite if such invariants of the base algebra and fiber algebra are both finite. Furthermore, w
Externí odkaz:
http://arxiv.org/abs/2404.18939
Autor:
Khalil, Osama
We show that the Fourier transform of Patterson-Sullivan measures associated to convex cocompact groups of isometries of real hyperbolic space decays polynomially quickly at infinity. The proof is based on the $L^2$-flattening theorem obtained in pri
Externí odkaz:
http://arxiv.org/abs/2404.09424
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