Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Lecuona, Ana G."'
Autor:
Lecuona, Ana G., Wand, Andy
We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is obtained by combining lattice embedding techniques with Gabai's classifi
Externí odkaz:
http://arxiv.org/abs/2408.03644
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 1101-1120
The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of the signature of the splice. It appeared to be closely related to severa
Externí odkaz:
http://arxiv.org/abs/2202.04529
We consider tilings of the plane with 12-fold symmetry obtained by the cut and projection method. We compute their cohomology groups using the techniques introduced by the second author, Hunton and Kellendonk. To do this we completely describe the wi
Externí odkaz:
http://arxiv.org/abs/2012.00379
We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral surgeries that bound rational homology balls. For such cables, let S(
Externí odkaz:
http://arxiv.org/abs/2008.06760
Publikováno v:
Contemp. Math., 772 American Mathematical Society, [Providence], RI, [2021]
We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing re
Externí odkaz:
http://arxiv.org/abs/2002.02790
Publikováno v:
2019-20 MATRIX Annals, MATRIX Book Ser. 4 (2021), 111-116
In this note we study whether specific elements in the second homology of specific simply connected closed $4$-manifolds can be represented by smooth or topologically flat embedded spheres.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1909.05512
Publikováno v:
Fund. Math. 258 (2022), no. 1, 65--114
We define the slope of a colored link in an integral homology sphere, associated to admissible characters on the link group. Away from a certain singular locus, the slope is a rational function which can be regarded as a multivariate generalization o
Externí odkaz:
http://arxiv.org/abs/1802.01836
Autor:
Lecuona, Ana G.
In this note we study the Seifert rational homology spheres with two complementary legs, i.e. with a pair of invariants whose fractions add up to one. We give a complete classification of the Seifert manifolds with 3 exceptional fibers and two comple
Externí odkaz:
http://arxiv.org/abs/1701.01980
Publikováno v:
Algebr. Geom. Topol. 18 (2018) 2371-2417
Baker showed that 10 of the 12 classes of Berge knots are obtained by surgery on the minimally twisted 5-chain link. In this article we enumerate all hyperbolic knots in S^3 obtained by surgery on the minimally twisted 5 chain link that realize the m
Externí odkaz:
http://arxiv.org/abs/1701.01751
Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition. We use Casson-Gordon invariants to obtain lower bounds which also le
Externí odkaz:
http://arxiv.org/abs/1610.10032