Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Chun-Chung Hsieh"'
Publikováno v:
Physics Letters A. 383:2692-2697
We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also investigated. The F_3 spiral and its Darboux deformed counterparts are il
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Geometry and Physics. 131:101-113
In this article we will construct a knot invariant which is complementary to HOMFLY knot invariant by proving that the skein relation is not compatible with HOMFLY’s.
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 103:106003
We present an analysis of an extended Rayleigh-Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic pr
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:
Chun-Chung Hsieh
Publikováno v:
Journal of Knot Theory and Its Ramifications. 20:1637-1648
In this paper, following the scheme of [Borromean rings and linkings, J. Geom. Phys.60 (2010) 823–831; Combinatoric and diagrammatic study in knot theory, J. Knot Theory Ramifications16 (2007) 1235–1253; Massey–Milnor linking = Chern–Simons
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Knot Theory and Its Ramifications. 20:927-938
In this paper following the scheme of Massey–Milnor invariant theory [C. C. Hsieh, Combinatoric and diagrammatic studies in knot theory J. Knot Theory Ramifications16 (2007) 1235–1253; C. C. Hsieh, Massey-Milnor linking = Chern-Simons-Witten grap
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Knot Theory and Its Ramifications. 20:677-687
In this paper, following the scheme of [11–13, 16, 17], we study the first non-vanishing self-linkings of knots in both combinatoric and diagrammatic aspects. The method of attack comes from Massey–Milnor linking theory.
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Geometry and Physics. 60:823-831
For links of 3 components, such as Borromean rings, which escape the detection of Gauss linking, we define and compute combinatorically and explicitly the higher linking. And as in perturbative quantum field theory, this higher linking is presented a
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Knot Theory and Its Ramifications. 17:877-903
We express the first non-vanishing Massey–Milnor linkings in terms of Chern–Simons–Witten configuration space integrals in perturbative quantum field theory.
Autor:
Chun-Chung Hsieh
Publikováno v:
Journal of Knot Theory and Its Ramifications. 16:1235-1253
Motivated by Massey–Milnor linking and Chern–Simon–Witten perturbative quantum field theory, we developed some combinatorial and diagrammatic study in this paper, aiming at knot theory in the combinatoric aspect.