1986 David Gabai, William P. Thurston. in a line segment through the Z-axis and lying in the X-Z plane. Now consider the sequence of generating sets a = (1,0,n) bp = (p,l,p+pn) c = (0,0,1). Note that ap+1 = a , cp+1 = b^i = b„ + a„ + c ...
During the Sixth East Asia Knot School in Hiroshima (January 2011), J.S.C. and S.K. improved upon the original construction. ... J. S. Carter and M. Saito, Knotted Surfaces and Their Diagrams, Mathematical Surveys and Monographs, Vol.
The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
... Theory Ramifications, Vol. 21, No. 14, (2012)15 pages. [23] C. Mann, J. McLoud-Mann, On the relationship between minimal lattice knots and ... Knots Kenneth Millett, University of California, Santa Barbara 840 Encyclopedia of Knot Theory.
... GENERA OF THE ARBORESCENT LINKS Abstract Given a non-split oriented arborescent (often called algebraic, not to be confused with complex algebraic) link we give an effective algorithm to construct a C°° transversely oriented codimension ...
... links , but the upper estimates need some changes depending on n ( D ) . There is one more important special case in which one can show our conjecture . Proposition 7.5.2 If L is a special alternating arborescent link ( without hidden ...
The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
... Classification and Symmetries of Arborescent knots. http:// www-bcf.usc.edu ... arborescent link complements. Proc. Lond. Math. Soc. (3) 98 (2009), 325–364 ... Genera of the arborescent links. Mem. Amer. Math. Soc. 59 (1986), i–viii and ...
... genera of links , Topology 23 ( 1984 ) , 381-394 . 7. D. Gabai , Genera of the arborescent links , Mem.A.M.S. 59 ( 1986 ) , 1-98 . 8. D. Gabai , Detecting fibred links in S3 , Comm.Math.Helv . 61 ( 1986 ) , 519-555 . 9. D. Gabai ...
Confoliations appear in a crucial manner in the proof of this result, since the main step consists in the modification of the plane field tangent to a foliation so that it becomes integrable (tangent to a foliation) in some part of the ...