Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ekaterina Pervova"'
Autor:
Ekaterina Pervova
Publikováno v:
Advances in Applied Clifford Algebras. 27:2677-2737
We consider the diffeological pseudo-bundles of exterior algebras, and the Clifford action of the corresponding Clifford algebras, associated to a given finite-dimensional and locally trivial diffeological vector pseudo-bundle, as well as the behavio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f48b86958e545289622ce69218630d9
https://doi.org/10.1007/s00006-017-0769-z
https://doi.org/10.1007/s00006-017-0769-z
Autor:
Ekaterina Pervova
Publikováno v:
Topology and its Applications. 202:269-300
We consider a diffeological counterpart of the notion of a vector bundle (we call this counterpart a pseudo-bundle, although in the other works it is called differently; among the existing terms there are a "regular vector bundle" of Vincent and "dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0fd60f74ca1c5c0aa731107907b7fa1
https://doi.org/10.1016/j.topol.2016.01.014
https://doi.org/10.1016/j.topol.2016.01.014
Autor:
Ekaterina Pervova
Although our main interest here is developing an appropriate analog, for diffeological vector pseudo-bundles, of a Riemannian metric, a significant portion is dedicated to continued study of the gluing operation for pseudo-bundles introduced in arXiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::281043d27341e15502603a7cddadec6c
http://hdl.handle.net/11568/848014
http://hdl.handle.net/11568/848014
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
Publikováno v:
Milan Journal of Mathematics. 76:69-92
Starting from the (apparently) elementary problem of deciding how many different topological spaces can be obtained by gluing together in pairs the faces of an octahedron, we will describe the central role played by hyperbolic geometry within three-d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2169d9d8d2dce87d6d6cc3b7422acca4
https://doi.org/10.1007/s00032-007-0080-x
https://doi.org/10.1007/s00032-007-0080-x
Autor:
Ekaterina Pervova
We consider the diffeological version of the Clifford algebra of a (diffeological) finite-dimensional vector space; we start by commenting on the notion of a diffeological algebra (which is the expected analogue of the usual one) and that of a diffeo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a6bc623e4178c3d90f097039a586208
http://arxiv.org/abs/1505.06894
http://arxiv.org/abs/1505.06894
Autor:
Ekaterina Pervova
It is known that the only finite-dimensional diffeological vector space that admits a diffeologically smooth scalar product is the standard space of appropriate dimension. In this note we consider a way to circumnavigate this issue, by introducing a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::732f6f659bcb4eb0c38c6fd4c430663b
Autor:
Ekaterina Pervova
Publikováno v:
Algebr. Geom. Topol. 12, no. 1 (2012), 235-265
The so-called Mom-structures on hyperbolic cusped 3-manifolds without boundary were introduced by Gabai, Meyerhoff, and Milley, and used by them to identify the smallest closed hyperbolic manifold. In this work we extend the notion of a Mom-structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f8ec4659fcaa386d062ef77c8f6d084
https://projecteuclid.org/euclid.agt/1513715338
https://projecteuclid.org/euclid.agt/1513715338
A theory of complexity for pairs (M,G) with M an arbitrary closed 3-manifold and G a 3-valent graph in M was introduced by the first two named authors, extending the original notion due to Matveev. The complexity c is known to be always additive unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44b818e6ff853740509644d5db416ee4
http://hdl.handle.net/11568/190453
http://hdl.handle.net/11568/190453
Autor:
Carlo Petronio, Ekaterina Pervova
Publikováno v:
International Mathematics Research Notices.
We consider certain invariants of links in 3-manifolds, obtained by a specialization of the Turaev-Viro invariants of 3-manifolds, that we call colored Turaev-Viro invariants. Their construction is based on a presentation of a pair (M,L), where M is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ec6ab8cae3b02eef38f0ec387440c7a
https://doi.org/10.1093/imrn/rnp026
https://doi.org/10.1093/imrn/rnp026