Zobrazeno 1 - 6
of 6
pro vyhledávání: '"57K10 (Primary) 57K18 (Secondary)"'
In 2003, Ozsv\'ath, Szab\'o, and Rasmussen introduced the $\tau$ invariant for knots, and in 2011, Sarkar published a computational shortcut for the $\tau$ invariant of knots that can be represented by diagonal grid diagrams. Previously, the only kno
Externí odkaz:
http://arxiv.org/abs/2412.13796
Autor:
Korablev, Philipp
We introduce the notion of a hierarchical quandle, which is a generalisation of diquandles and multi-quandles. Using hierarchical quandle colourings, we construct a cocycle invariants for links coloured by quandles.
Externí odkaz:
http://arxiv.org/abs/2311.03871
Autor:
Baker, Kenneth L., Kegel, Marc
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 569-586
We exhibit braid positive presentations for all L-space knots in the SnapPy census except one, which is not braid positive. The normalized HOMFLY polynomial of o9_30634, when suitably normalized is not positive, failing a condition of Ito for braid p
Externí odkaz:
http://arxiv.org/abs/2203.12013
The nonorientable four-ball genus of a knot $K$ in $S^3$ is the minimal first Betti number of nonorientable surfaces in $B^4$ bounded by $K$. By amalgamating ideas from involutive knot Floer homology and unoriented knot Floer homology, we give a new
Externí odkaz:
http://arxiv.org/abs/2109.09187
We show that the differences between various concordance invariants of knots, including Rasmussen's $s$-invariant and its generalizations $s_n$-invariants, give lower bounds to the Turaev genus of knots. Using the fact that our bounds are nontrivial
Externí odkaz:
http://arxiv.org/abs/2010.00031
We show that the differences between various concordance invariants of knots, including Rasmussen's $s$-invariant and its generalizations $s_n$-invariants, give lower bounds to the Turaev genus of knots. Using the fact that our bounds are nontrivial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::928155cc7cf71f5ed5adf65f16c8a1f7