Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Carlo Petronio"'
Autor:
Carlo Petronio
Publikováno v:
Winter Braids Lecture Notes. 7:1-43
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::379b8b1a724fe6e5f5032367303b955d
https://doi.org/10.5802/wbln.34
https://doi.org/10.5802/wbln.34
Autor:
Carlo Petronio
Publikováno v:
When Form Becomes Substance ISBN: 9783030831240
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::051a71558f28e67d645ce24166d5409b
https://doi.org/10.1007/978-3-030-83125-7_7
https://doi.org/10.1007/978-3-030-83125-7_7
Autor:
Carlo Petronio
Publikováno v:
European Journal of Combinatorics. 75:136-151
We compute the number of (weak) equivalence classes of branched covers from a surface of genus g to the sphere, with 3 branching points, degree 2k, and local degrees over the branching points of the form (2,...,2), (2h+1,1,2,...,2), (d_1,...,d_m), fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43d9d6f9a636a601ba7268336ee6eed9
https://doi.org/10.1016/j.ejc.2018.08.008
https://doi.org/10.1016/j.ejc.2018.08.008
Autor:
Carlo Petronio, Filippo Sarti
To a branched cover f between orientable surfaces one can associate a certain branch datum D(f), that encodes the combinatorics of the cover. This D(f) satisfies a compatibility condition called the Riemann-Hurwitz relation. The old but still partly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89d3926b1050947000e831d1c68bd4ae
http://hdl.handle.net/11585/840934
http://hdl.handle.net/11585/840934
Autor:
Tom Ferragut, Carlo Petronio
We prove that there exists no branched cover from the torus to the sphere with degree 3h and 3 branching points in the target with local degrees (3,...,3), (3,...,3), (4,2,3,...,3) at their preimages. The result was already established by Izmestiev,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0af922b898d86f7ac9c2b811f26306f7
http://arxiv.org/abs/1805.00305
http://arxiv.org/abs/1805.00305
Autor:
Carlo Petronio
We continue our computation, using a combinatorial method based on Gronthendieck's dessins d'enfant, of the number of (weak) equivalence classes of surface branched covers matching certain specific branch data. In this note we concentrate on data wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1f965b85e59842282eef78abfa876fb
Publikováno v:
Communications in Analysis and Geometry. 22:689-735
We consider in this paper the minimally twisted chain link with 5 components in the 3-sphere, and we analyze the Dehn surgeries on it, namely the Dehn fillings on its exterior M5. The 3-manifold M5 is a nicely symmetric hyperbolic one, filling which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::585dbdeb15e9bd72dd129ed4be9f7663
https://doi.org/10.4310/cag.2014.v22.n4.a4
https://doi.org/10.4310/cag.2014.v22.n4.a4
Publikováno v:
Transactions of the American Mathematical Society. 361:5885-5920
For a branched cover between two closed orientable surfaces, the Riemann-Hurwitz formula relates the Euler characteristics of the surfaces, the total degree of the cover, and the total length of the partitions of the degree given by the local degrees
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bbf78e0cd7697baa633d8f86f372bbc
https://doi.org/10.1090/s0002-9947-09-04779-5
https://doi.org/10.1090/s0002-9947-09-04779-5
Publikováno v:
Journal of the Australian Mathematical Society. 86:205-219
We establish two-sided bounds for the complexity of two infinite series of closed orientable 3-dimensional hyperbolic manifolds, the Lobell manifolds and the Fibonacci manifolds.
11 pages, 2 figures
11 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2705850d724f858e6d80412cce02cd8b
https://doi.org/10.1017/s1446788708000499
https://doi.org/10.1017/s1446788708000499
Autor:
Carlo Petronio, Ekaterina Pervova
Publikováno v:
Mathematische Nachrichten. 281:1182-1195
We investigate the notion of complexity for finitely presented groups and the related notion of complexity for three-dimensional manifolds. We give two-sided estimates on the complexity of all the Milnor groups (the finite groups with free action on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78eb9f8e090054595be81080ec6ad911
https://doi.org/10.1002/mana.200510669
https://doi.org/10.1002/mana.200510669