Zobrazeno 1 - 10
of 78
pro vyhledávání: '"HORVAT, Eva"'
Autor:
Horvat, Eva
Publikováno v:
Journal of Geometry and Physics, 2023, 105020, ISSN 0393-0440
We study the structure induced on a smooth manifold by a continuous selection of smooth functions. In case such selection is suitably generic, it provides a stratification of the manifold, whose strata are algebraically defined smooth submanifolds. W
Externí odkaz:
http://arxiv.org/abs/2212.09051
Publikováno v:
In Urban Forestry & Urban Greening June 2024 96
Autor:
Horvat, Eva
Publikováno v:
Geometriae Dedicata, volume 217, Article number: 36 (2023)
A knotted surface in the 4-sphere may be described by means of a hyperbolic diagram that captures the 0-section of a special Morse function, called a hyperbolic decomposition. We show that every hyperbolic decomposition of a knotted surface K defines
Externí odkaz:
http://arxiv.org/abs/2104.11814
We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle of a satellite knot and the fundamental quandles/groups of its compani
Externí odkaz:
http://arxiv.org/abs/2009.12869
Autor:
Horvat, Eva
Publikováno v:
Communications in Contemporary Mathematics (2021) 2050066
The lens space $L_{p,q}$ is the orbit space of a $\mathbb{Z}_{p}$-action on the three sphere. We investigate polynomials of two complex variables that are invariant under this action, and thus define links in $L_{p,q}$. We study properties of these l
Externí odkaz:
http://arxiv.org/abs/2002.10417
Autor:
Horvat, Eva
We generalize the construction of Akimova and Manturov, define the label bracket for knotted trivalent graphs in $\mathbb{R}^3$ and show it defines an isotopy invariant of such graphs.
Comment: 6 pages, many figures
Comment: 6 pages, many figures
Externí odkaz:
http://arxiv.org/abs/1912.01229
Autor:
Horvat, Eva, Crans, Alissa S.
Publikováno v:
Journal of Knot Theory and Its Ramifications, Vol. 29, No. 02, 2040008 (2020)
We investigate the relationship between the quandle and biquandle coloring invariant and obtain an enhancement of the quandle and biquandle coloring invariants using biquandle structures. We also continue the study of biquandle homomorphisms into a m
Externí odkaz:
http://arxiv.org/abs/1907.10259
Autor:
Cattabriga, Alessia, Horvat, Eva
Publikováno v:
Mediterranean Journal of Mathematics, volume 17, Article number: 98 (2020)
We show that the fundamental quandle defines a functor from the oriented tangle category to a suitably defined quandle category. Given a tangle decomposition of a link $L$, the fundamental quandle of $L$ may be obtained from the fundamental quandles
Externí odkaz:
http://arxiv.org/abs/1901.10996
Autor:
Gabrovšek, Boštjan, Horvat, Eva
We present a reduced Burau-like representation for the mixed braid group on one strand representing links in lens spaces and show how to calculate the Alexander polynomial of a link directly from the mixed braid.
Externí odkaz:
http://arxiv.org/abs/1901.01191
Autor:
Horvat, Eva
Publikováno v:
Fundamenta Mathematicae 251 (2020), 203-218
We define biquandle structures on a given quandle, and show that any biquandle is given by some biquandle structure on its underlying quandle. By determining when two biquandle structures yield isomorphic biquandles, we obtain a relationship between
Externí odkaz:
http://arxiv.org/abs/1810.03027