Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Nick Salter"'
Autor:
Nick Salter
Publikováno v:
Geometry & Topology. 25:2707-2711
This short note corrects an error appearing in the published version of the titular paper and gives a brief discussion of an example illustrating the corrected construction.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a61d536c25ea459e61662484cd62ddf6
https://doi.org/10.2140/gt.2021.25.2707
https://doi.org/10.2140/gt.2021.25.2707
Autor:
Aaron Calderon, Nick Salter
Publikováno v:
Bulletin of the London Mathematical Society. 53:204-219
Let $\Sigma$ be a surface with either boundary or marked points, equipped with an arbitrary framing. In this note we determine the action of the associated "framed mapping class group" on the homology of $\Sigma$ relative to its boundary (respectivel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04b0f831f1618b53776bf599e5af121f
https://doi.org/10.1112/blms.12412
https://doi.org/10.1112/blms.12412
Autor:
Nick Salter, Bena Tshishiku
Publikováno v:
Compositio Mathematica. 156:114-157
A question of Griffiths-Schmid asks when the monodromy group of an algebraic family of complex varieties is arithmetic. We resolve this in the affirmative for the class of algebraic surfaces known as Atiyah-Kodaira manifolds, which have base and fibe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3240bb5a0a7b6d9b3885d9d61bad3981
https://doi.org/10.1112/s0010437x19007668
https://doi.org/10.1112/s0010437x19007668
We formulate a tropical analogue of Grothendieck's section conjecture: that for every stable graph G of genus g>2, and every field k, the generic curve with reduction type G over k satisfies the section conjecture. We prove many cases of this conject
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::267be965f38b1ffab83efc48bab36162
http://arxiv.org/abs/2010.07331
http://arxiv.org/abs/2010.07331
Autor:
Aaron Calderon, Nick Salter
This paper investigates the relationship between strata of abelian differentials and various mapping class groups afforded by means of the topological monodromy representation. Building off of prior work of the authors, we show that the fundamental g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96e790a43d434fa94d6367ac888ac99f
http://arxiv.org/abs/2002.02472
http://arxiv.org/abs/2002.02472
Autor:
Lei Chen, Nick Salter
We give a short and elementary proof of the non-realizability of the mapping class group via homeomorphisms. This was originally established by Markovic, resolving a conjecture of Thurston. With the tools established in this paper, we also obtain som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37d372bf719fcd71644b39624aa2c854
Autor:
Nick Salter, Aaron Calderon
Publikováno v:
Advances in Mathematics. 389:107926
For g ≥ 5 , we give a complete classification of the connected components of strata of abelian differentials over Teichmuller space, establishing an analogue of Kontsevich and Zorich's classification of their components over moduli space. Building
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f97c094ed2f7260aa1e433bcf4ae6128
https://doi.org/10.1016/j.aim.2021.107926
https://doi.org/10.1016/j.aim.2021.107926
Autor:
Nick Salter
The Burau representation is a fundamental bridge between the braid group and diverse other topics in mathematics. A 1974 question of Birman asks for a description of the image; in this paper we give a "strong approximation" to the answer. Since a 198
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e5b9992bce8ff4532fa319332a947d9
http://arxiv.org/abs/1903.11209
http://arxiv.org/abs/1903.11209
Autor:
Nick Salter, Bena Tshishiku
Publikováno v:
Bulletin of the London Mathematical Society. 48:457-471
For every compact surface $S$ of finite type (possibly with boundary components but without punctures), we show that when $n$ is sufficiently large there is no lift $\sigma$ of the surface braid group $B_n(S)$ to $\operatorname{Diff}(S,n)$, the group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b23cf8d781acc47a8060f3c23d0ff033
https://doi.org/10.1112/blms/bdw016
https://doi.org/10.1112/blms/bdw016
Autor:
Nick Salter, Bena Tshishiku
Publikováno v:
Notices of the American Mathematical Society. 67:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5eddb2d92e001971179985889d03380e
https://doi.org/10.1090/noti2016
https://doi.org/10.1090/noti2016