Spinning knots about submanifolds; spinning knots about projections of knots
نویسندگان
چکیده
منابع مشابه
Lissajous Knots and Knots with Lissajous Projections
Knots in R which may be parameterized by a single cosine function in each coordinate are called Lissajous knots. We show that twist knots are Lissajous knots if and only if their Arf invariants are zero. We further prove that all 2-bridge knots and all (3, q)-torus knots have Lissajous projections.
متن کاملSubmanifolds , Group Actions and Knots . I
This note and [4] outline new methods of classifying submanifolds of a manifold, submanifolds invariant under a group action, and submanifolds fixed under a group action. These methods solve many previously difficult problems associated with codimension two. In particular, they lead to a better understanding of the role of knot theory in the general placement problem for manifolds; this will be...
متن کاملOn 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 کاملMolecular Knots
The first synthetic molecular trefoil knot was prepared in the late 1980s. However, it is only in the last few years that more complex small-molecule knot topologies have been realized through chemical synthesis. The steric restrictions imposed on molecular strands by knotting can impart significant physical and chemical properties, including chirality, strong and selective ion binding, and cat...
متن کاملWild knots
Wild knots, a class of knots which cannot be represented by polygonal paths in 3-dimensional space, are investigated as an embellishment to the Celtic style of ornamental knotwork. Wild knotwork designs are compared to fractal knotwork designs and the traditional technique of N-interlacement. It is shown that all three styles may co-exist in one design. r 2006 Elsevier Ltd. All rights reserved.
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: Topology and its Applications
سال: 1989
ISSN: 0166-8641
DOI: 10.1016/0166-8641(89)90019-9