Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Nagasato, Fumikazu"'
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
A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $\mathfrak{b}(p,q)$ is minimal where $q \leq 6$ or $p \leq 100$.
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Externí odkaz:
http://arxiv.org/abs/1609.02244
Autor:
Nagasato, Fumikazu, Tran, Anh T.
We show that all twist knots, certain double twist knots and some other 2-bridge knots are minimal elements for the partial ordering on the set of prime knots. The key to these results are presentations of their character varieties using Chebyshev po
Externí odkaz:
http://arxiv.org/abs/1301.0138
Autor:
Nagasato, Fumikazu
Publikováno v:
In Topology and its Applications 1 September 2019 264:251-275
Let K be a knot in an integral homology 3-sphere and let B denote the 2-fold branched cover of the integral homology sphere branched along K. We construct a map from the slice of characters with trace free along meridians in the SL(2, C)-character va
Externí odkaz:
http://arxiv.org/abs/0807.0714
Autor:
Nagasato, Fumikazu
We show that for any knot there exist only finitely many irreducible metabelian characters in the $SL(2,\mathbb{C})$-character variety of the knot group, and the number is given explicitly by using the determinant of the knot. Then it turns out that
Externí odkaz:
http://arxiv.org/abs/math/0610310
Autor:
Nagasato, Fumikazu, Tran, Ant T.
Publikováno v:
Osaka Journal of Mathematics. 53(4):1029-1045
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::88fc87de81e08a5dde55d58ac79ddfc5
https://hdl.handle.net/11094/58889
https://hdl.handle.net/11094/58889