Zobrazeno 1 - 10
of 36
pro vyhledávání: '"57M27 (Primary) 57M25 (Secondary)"'
Autor:
Jabuka, Stanislav
Publikováno v:
Pacific J. Math. 318 (2022) 375-400
The concordance crosscap number $\gamma_c(K)$ of a knot $K$ is the smallest crosscap number $\gamma_3(K')$ of any knot $K'$ concordant to $K$ (and with $\gamma_3(K')$ defined as the least first Betti number of any nonorientable surface $\Sigma$ embed
Externí odkaz:
http://arxiv.org/abs/2012.14801
Autor:
Kim, Juhyun
We prove that the rank of knot Floer homology detects the Hopf links, and generalize this result further to classify the links of the second smallest knot Floer homology. We also prove a knot Floer homology analog of arXiv:1910.04246v1 [math.GT] and
Externí odkaz:
http://arxiv.org/abs/2011.11810
Autor:
Caprau, Carmen, González, Nicolle, Lee, Christine Ruey Shan, Lowrance, Adam M., Sazdanović, Radmila, Zhang, Melissa
This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to $\mathfrak{sl}(n)$ homologies. We extend Levine and Zemke's ribbon concordance obstruction from Khova
Externí odkaz:
http://arxiv.org/abs/2002.05247
We extend the definition of Khovanov-Lee homology to links in connected sums of $S^1 \times S^2$'s, and construct a Rasmussen-type invariant for null-homologous links in these manifolds. For certain links in $S^1 \times S^2$, we compute the invariant
Externí odkaz:
http://arxiv.org/abs/1910.08195
In this paper we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the $SL(2, \mathbb C)$-character variety. We also discuss similar things for the higher dimensional tw
Externí odkaz:
http://arxiv.org/abs/1904.08026
Autor:
Nagasato, Fumikazu, Suzuki, Shinnosuke
We calculate ghost characters for the (5,6)-torus knot, and using them we show that the (5,6)-torus knot gives a counter-example of Ng's conjecture concerned with the relationship between degree 0 abelian knot contact homology and the character varie
Externí odkaz:
http://arxiv.org/abs/1708.00874
Autor:
Nagasato, Fumikazu, Suzuki, Shinnosuke
It is known that for any knot $K$ every (meridionally) trace-free $SL_2(C)$-representation of the knot group $G(K)$ gives an $SL_2(C)$-representation of the fundamental group $\pi_1(\Sigma_2K)$ of the 2-fold branched covering $\Sigma_2K$ of the 3-sph
Externí odkaz:
http://arxiv.org/abs/1708.01511
Autor:
Lowrance, Adam M., Spyropoulos, Dean
Publikováno v:
New York J. Math. 23 (2017), 1611-1639
A link is almost alternating if it is non-alternating and has a diagram that can be transformed into an alternating diagram via one crossing change. We give formulas for the first two and last two potential coefficients of the Jones polynomial of an
Externí odkaz:
http://arxiv.org/abs/1707.05443
Autor:
Tran, Anh T.
We compute the A-polynomial 2-tuple of twisted Whitehead links. As applications, we determine canonical components of twisted Whitehead links and give a formula for the volume of twisted Whitehead link cone-manifolds.
Comment: 12 pages, 1 figure
Comment: 12 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1608.01381
Autor:
Lins, Sóstenes
In this note we present a short proof that the 4 oriented Reidemeister moves of type 2 together with any one of the 8 oriented Reidemeister moves of type 3 are sufficient to imply the other 7.
Comment: 2 pages, 3 figures
Comment: 2 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/1211.0485