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pro vyhledávání: '"Pacheco-Tallaj, Natalia"'
Autor:
Debray, Arun, Devalapurkar, Sanath K., Krulewski, Cameron, Liu, Yu Leon, Pacheco-Tallaj, Natalia, Thorngren, Ryan
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifying the many examples in the literature. We provide three definitions o
Externí odkaz:
http://arxiv.org/abs/2405.04649
Autor:
Calle, Maxine E., Hoekzema, Renee S., Murray, Laura, Pacheco-Tallaj, Natalia, Rovi, Carmen, Sridhar-Shapiro, Shruthi
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generators for a general nested cobordism category. Restricting to a low-dimen
Externí odkaz:
http://arxiv.org/abs/2403.01067
Autor:
Debray, Arun, Devalapurkar, Sanath K., Krulewski, Cameron, Liu, Yu Leon, Pacheco-Tallaj, Natalia, Thorngren, Ryan
We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at the cores of these objects. These are topologically protected by an 't
Externí odkaz:
http://arxiv.org/abs/2309.16749
Autor:
Adams, Colin, Eisenberg, Or, Greenberg, Jonah, Kapoor, Kabir, Liang, Zhen, O'Connor, Kate, Pacheco-Tallaj, Natalia, Wang, Yi
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 3459-3482
By work of W. Thurston, knots and links in the 3-sphere are known to either be torus links, or to contain an essential torus in their complement, or to be hyperbolic, in which case a unique hyperbolic volume can be calculated for their complement. We
Externí odkaz:
http://arxiv.org/abs/1912.09435
Autor:
Adams, Colin, Eisenberg, Or, Greenberg, Jonah, Kapoor, Kabir, Liang, Zhen, O'Connor, Kate, Pacheco-Tallaj, Natalia, Wang, Yi
We extend the theory of hyperbolicity of links in the 3-sphere to tg-hyperbolicity of virtual links, using the fact that the theory of virtual links can be translated into the theory of links living in closed orientable thickened surfaces. When the b
Externí odkaz:
http://arxiv.org/abs/1904.06385
Publikováno v:
J. Knot Theory Ramifications, 28 (2019), no. 9, 1950056
The Thurston norm of a 3-manifold measures the complexity of surfaces representing two-dimensional homology classes. We study the possible unit balls of Thurston norms of 3-manifolds $M$ with $b_1(M) = 2$, and whose fundamental groups admit presentat
Externí odkaz:
http://arxiv.org/abs/1803.05097
Autor:
Adams, Colin, Eisenberg, Or, Greenberg, Jonah, Kapoor, Kabir, Liang, Zhen, O'Connor, Kate, Pacheco-Tallaj, Natalia, Wang, Yi
Publikováno v:
Algebraic & Geometric Topology. 21:3459-3482
By work of W. Thurston, knots and links in the 3-sphere are known to either be torus links, or to contain an essential torus in their complement, or to be hyperbolic, in which case a unique hyperbolic volume can be calculated for their complement. We
Akademický článek
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Akademický článek
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Autor:
Pacheco-Tallaj, Natalia M.
Publikováno v:
Notices of the American Mathematical Society; Oct2020, Vol. 67 Issue 9, p1352-1353, 2p