Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Greg McShane"'
Autor:
Hidetoshi Masai, Greg McShane
Publikováno v:
Mathematische Annalen. 385:939-959
We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that there are only finitely many possibilities. As a corollary we show that,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66f63c80d2f71b9254f6918314e561af
https://doi.org/10.1007/s00208-022-02365-0
https://doi.org/10.1007/s00208-022-02365-0
Autor:
Greg McShane, Sadayoshi Kojima
Publikováno v:
Geom. Topol. 22, no. 4 (2018), 2403-2426
Thanks to a recent result by Jean-Marc Schlenker, we establish an explicit linear inequality between the normalized entropies of pseudo-Anosov automorphisms and the hyperbolic volumes of their mapping tori. As corollaries, we give an improved lower b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01131a8251367b97373043b571ac1338
https://doi.org/10.2140/gt.2018.22.2403
https://doi.org/10.2140/gt.2018.22.2403
Publikováno v:
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society, American Mathematical Society, 2019, 259 (1249), ⟨10.1090/memo/1249⟩
Memoirs of the American Mathematical Society, American Mathematical Society, 2018
Memoirs of the American Mathematical Society, American Mathematical Society, 2019, 259 (1249), ⟨10.1090/memo/1249⟩
Memoirs of the American Mathematical Society, American Mathematical Society, 2018
The automorphisms of a two-generator free group acting on the space of orientation-preserving isometric actions of on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1a61f4f937b0f85804c7741b2e8c9bf
https://doi.org/10.1090/memo/1249
https://doi.org/10.1090/memo/1249
The automorphisms of a two-generator free group $\mathsf F_2$ acting on the space of orientation-preserving isometric actions of $\mathsf F_2$ on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not a
Autor:
Greg McShane
The set of axes of hyperbolic elements in a Fuchsian group depends on the commensurability class of the group. In fact, it has been conjectured that it determines the commensurability class and this has been verified in for groups of the second kind
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5112e78d91ecca67148a133d292ef656
http://arxiv.org/abs/1709.08958
http://arxiv.org/abs/1709.08958
Autor:
Greg McShane, Hidetoshi Masai
Publikováno v:
Algebr. Geom. Topol. 13, no. 6 (2013), 3135-3152
Bridgeman‐Kahn and Calegari derived formulae for the volumes of compact hyperbolic n‐manifolds with totally geodesic boundary in terms of the orthospectrum. Their methods are apparently different from each other, and involve computing the volume
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35894fb06f9b278a5bca4f1d8f0471de
https://doi.org/10.2140/agt.2013.13.3135
https://doi.org/10.2140/agt.2013.13.3135
Autor:
Greg McShane
Publikováno v:
Bulletin of the London Mathematical Society. 36:181-187
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41204774d190ebf29bbb56643681d44b
https://doi.org/10.1112/s0024609303002686
https://doi.org/10.1112/s0024609303002686
Autor:
Greg McShane
Publikováno v:
Inventiones Mathematicae. 132:607-632
We investigate the Birman Series set in a neighborhood of a cusp on a punctured surface, showing that it is homeomorphic to a Cantor set union countably many isolated points cross a line. The local topology of the Cantor set is shown to be related in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d02b3fd5ad6944b6b4da4f8d63cec15d
https://doi.org/10.1007/s002220050235
https://doi.org/10.1007/s002220050235
Autor:
Greg McShane
Publikováno v:
Pacific Journal of Mathematics
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2007, 231 (2), pp.461-479. ⟨10.2140/pjm.2007.231.461⟩
Pacific Journal of Mathematics, 2007, 231 (2), pp.461-479. ⟨10.2140/pjm.2007.231.461⟩
Pacific Journal of Mathematics, Mathematical Sciences Publishers, 2007, 231 (2), pp.461-479. ⟨10.2140/pjm.2007.231.461⟩
Pacific Journal of Mathematics, 2007, 231 (2), pp.461-479. ⟨10.2140/pjm.2007.231.461⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4c03e09874480891f3aa42fa974d700
https://hal.archives-ouvertes.fr/hal-00635856
https://hal.archives-ouvertes.fr/hal-00635856