Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Chichen M. Tsau"'
Publikováno v:
Asian Journal of Mathematics. 21:265-286
We develop the intersection theory at relative chain-cochain level, and apply it along with the use of Seifert disks for an oriented link to give a combinatorial algorithm to compute Massey's higher order linking numbers. It is subtle to compute high
Autor:
Chichen M. Tsau, James J. Hebda
Publikováno v:
Transactions of the American Mathematical Society. 364:4283-4301
Publikováno v:
Journal of Knot Theory and Its Ramifications. 18:547-560
In this paper we extend the idea of Dehn surgery to a singular knot with one singularity, and give conditions under which the surgery manifold of an untangled singular knot is a Haken manifold containing an incompressible torus. We then show that unt
Autor:
Chichen M. Tsau, James J. Hebda
Publikováno v:
Journal of Knot Theory and Its Ramifications. 17:1483-1509
The normal holonomy of a smooth knot in Euclidean space is a geometric invariant with value in the unit circle which is closely related to the writhing number. Here we prove that normal holonomy fibers the space of smooth knots, except for possible s
Publikováno v:
Canadian Mathematical Bulletin. 50:390-398
We extend the notion of linking number of an ordinary link of two components to that of a singular link with transverse intersections, in which case the linking number is a half-integer. We then apply it to simplify the construction of the Seifert ma
Autor:
Chichen M. Tsau, James J. Hebda
Publikováno v:
Transactions of the American Mathematical Society. 356:267-281
This paper introduces the notion of a differential framing relation for knots in a three-dimensional manifold. There is a canonical map from the space of knots that satisfy a framing relation into the space of framed knots. Under reasonable assumptio
Autor:
James J. Hebda, Chichen M. Tsau
Publikováno v:
Pacific Journal of Mathematics. 204:77-95
The normal holonomy of a polygonal knot is a geometrical invariant which is closely related to the writhing number. We show that normal holonomy fibers the space of knots over the circle and deduce that the writhing number fibers the space of knots o
Autor:
Chichen M. Tsau
Publikováno v:
Journal of Knot Theory and Its Ramifications. 25:1650008
Using a special form of spanning surface for a knot, we give a formula for the coefficient of the [Formula: see text]-term of the Alexander–Conway polynomial in terms of the sum of determinants of the blocks of [Formula: see text] submatrices of th
Autor:
Chichen M. Tsau, John Kalliongis
Publikováno v:
Proceedings of the American Mathematical Society. 108:1047-1053
A classification is given for the composite knots and the Dehn surgery on these knots which yield Seifert fibered surgery manifolds. We prove that if a knot K is the composition of two torus knots, then some (unique) integral surgery on K yields a Se
Autor:
James J. Hebda, Chichen M. Tsau
Publikováno v:
Transactions of the American Mathematical Society; Jan2004, Vol. 356 Issue 1, p267-281, 15p