Zobrazeno 1 - 10 of 34 pro vyhledávání: '"Chikako Mese"'
2
Rigidity of Teichmüller space
Autor: Chikako Mese, Georgios Daskalopoulos
Publikováno v: Inventiones mathematicae. 224:791-916
We prove the holomorphic rigidity conjecture of Teichmuller space which loosely speaking states that the action of the mapping class group uniquely determines the Teichmuller space as a complex manifold. The method of proof is through harmonic maps.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::654719dd74194ad8749220da203be812
https://doi.org/10.1007/s00222-020-01020-2
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3
Surface groups acting on spaces
Autor: Chikako Mese, Alina Vdovina, Andrew Sanders, G Daskalipoulos
Publikováno v: Ergodic Theory and Dynamical Systems. 39:1843-1856
Harmonic map theory is used to show that a convex cocompact surface group action on a $\text{CAT}(-1)$ metric space fixes a convex copy of the hyperbolic plane (i.e. the action is Fuchsian) if and only if the Hausdorff dimension of the limit set of t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dbd670f1fb9e46cb7ab2e3ee97c6eee1
https://doi.org/10.1017/etds.2017.103
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5
Essential regularity of the model space for the Weil–Petersson metric
Autor: Georgios Daskalopoulos, Chikako Mese
Publikováno v: Journal für die reine und angewandte Mathematik (Crelles Journal). 2019:53-96
This is the second in a series of papers ([7] and [6] are the others) that studies the behavior of harmonic maps into the Weil–Petersson completion 𝒯 ¯ {\overline{\mathcal{T}}} of Teichmüller space. The boundary of 𝒯 ¯ {\overline{\mathcal{
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::35f1b9324880b2e90d2442816dc2b04d
https://doi.org/10.1515/crelle-2016-0028
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7
Elektronická kniha
On the Singular Set of Harmonic Maps into DM-Complexes
Autor: Georgios Daskalopoulos, Chikako Mese
The authors prove that the singular set of a harmonic map from a smooth Riemammian domain to a Riemannian DM-complex is of Hausdorff codimension at least two. They also explore monotonicity formulas and an order gap theorem for approximately harmonic
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8
Higgs bundles over cell complexes and representations of finitely generated groups
Autor: Chikako Mese, Graeme Wilkin, Georgios Daskalopoulos
The purpose of this paper is to extend the Donaldson-Corlette theorem to the case of vector bundles over cell complexes. We define the notion of a vector bundle and a Higgs bundle over a complex, and describe the associated Betti, de Rham and Higgs m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68750d975447f2297b98e93589cdedf2
http://arxiv.org/abs/1605.04625
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10
Regularity of Harmonic Maps from Polyhedra to CAT(1) Spaces
Autor: Christine Breiner, Ailana Fraser, Pam Sargent, Chikako Mese, Lan-Hsuan Huang, Yingying Zhang
We determine regularity results for energy minimizing maps from an n-dimensional Riemannian polyhedral complex X into a CAT(1) space. Provided that the metric on X is Lipschitz regular, we prove Holder regularity with Holder constant and exponent dep
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f57a9c5352c703a8f94821b9b3aa637b
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