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pro vyhledávání: '"Greenfield, Mark A."'
Autor:
Greenfield, Mark, Ji, Lizhen
Using the identification of the symmetric space $\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)$ with the Teichm\"uller space of flat $n$-tori of unit volume, we explore several metrics and compactifications of these spaces, drawing inspiration both from T
Externí odkaz:
http://arxiv.org/abs/1903.10655
Autor:
Gekhtman, Dmitri, Greenfield, Mark
We study the class of holomorphic and isometric submersions between finite-type Teichm\"uller spaces. We prove that, with potential exceptions coming from low-genus phenomena, any such map is a forgetful map $\mathcal{T}_{g,n} \rightarrow \mathcal{T}
Externí odkaz:
http://arxiv.org/abs/1901.02586
Publikováno v:
Top. Proc. 54 (2019) pp. 271-282
In this work we introduce the idea that the primary application of topology in experimental sciences is to keep track of what can be distinguished through experimentation. This link provides understanding and justification as to why topological space
Externí odkaz:
http://arxiv.org/abs/1708.05492
Autor:
Greenfield, Mark, Ji, Lizhen
We develop a natural and geometric way to realize the hyperbolic plane as the moduli space of marked genus 1 Riemann surfaces. To do so, a metric is defined on the Teichm\"uller space of the torus, inspired by Thurston's Lipschitz metric for the case
Externí odkaz:
http://arxiv.org/abs/1707.00818
Autor:
Greenfield, Mark
A closed hyperbolic Riemann surface M is said to be K-quasiconformally homogeneous if there exists a transitive family F of K-quasiconformal homeomorphisms. Further, if all [f] in F act trivially on H1(M;Z), we say M is Torelli-K-quasiconformally hom
Externí odkaz:
http://arxiv.org/abs/1309.2666
Spectral triples and quantum statistical mechanical systems are two important constructions in noncommutative geometry. In particular, both lead to interesting reconstruction theorems for a broad range of geometric objects, including number fields, s
Externí odkaz:
http://arxiv.org/abs/1305.5492
Autor:
Gekhtman, Dmitri, Greenfield, Mark
Publikováno v:
Israel Journal of Mathematics. 247:499-517
We study the class of holomorphic and isometric submersions between finite-type Teichmüller spaces. We prove that, with potential exceptions coming from low-genus phenomena, any such map is a forgetful map T_(g,n) → T_(g,m) obtained by filling in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5709b59526401e5049b3a697b015c08
https://doi.org/10.1007/s11856-021-2276-0
https://doi.org/10.1007/s11856-021-2276-0
Akademický článek
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Autor:
Gekhtman, Dmitri, Greenfield, Mark
Publikováno v:
Israel Journal of Mathematics; 4/15/2022, Vol. 247 Issue 2, p499-517, 19p
Autor:
Greenfield, Mark, Zhang, Jun
Publikováno v:
In Mathematical Social Sciences May 2018 93:47-51