Torus knots obtained by negatively twisting torus knots
نویسندگان
چکیده
Twisted torus knots are with some full twists added along number of adjacent strands. There infinitely many known examples twisted which actually knots. We give eight more infinite families such a single negative twist.
منابع مشابه
On iterated torus knots and transversal knots
A knot type is exchange reducible if an arbitrary closed n{braid representative K of K can be changed to a closed braid of minimum braid index nmin(K) by a nite sequence of braid isotopies, exchange moves and {destabilizations. (See Figure 1). In the manuscript [6] a transversal knot in the standard contact structure for S3 is de ned to be transversally simple if it is characterized up to trans...
متن کاملTransversal Torus Knots
We classify positive transversal torus knots in tight contact structures up to transversal isotopy.
متن کاملVassiliev Invariants for Torus Knots
Vassiliev invariants up to order six for arbitrary torus knots {n,m}, with n and m coprime integers, are computed. These invariants are polynomials in n and m whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors. ⋆ e-mail: [email protected]
متن کاملHomological thickness of torus knots
In this paper we show that the torus knots Tp,q for 3 ≤ p ≤ q are homologically thick. Even more, we show that we can reduce the number of twists q without changing certain part of homology, and consequently we show that there exists stable homology for torus knots conjectured in [4]. Also, we calculate Khovanov homology groups of low homological degree for torus knots, and we conjecture that t...
متن کاملCharacterizing slopes for torus knots
A slope p q is called a characterizing slope for a given knot K0 in S if whenever the p q –surgery on a knot K in S is homeomorphic to the p q –surgery on K0 via an orientation preserving homeomorphism, then K D K0 . In this paper we try to find characterizing slopes for torus knots Tr;s . We show that any slope p q which is larger than the number 30.r 1/.s 1/=67 is a characterizing slope for T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2022
ISSN: ['1793-6527', '0218-2165']
DOI: https://doi.org/10.1142/s0218216521500802