搜索结果: 1-7 共查到“模糊数学 homology”相关记录7条 . 查询时间(0 秒)
If K is a knot or link in R3 and S R3 is a smoothly embedded 2-sphere meeting K transversely in 4-points, then one can form a new knot or link K′ as follows. One cuts R3 along S and then glues the t...
A note on Gornik's perturbation of Khovanov-Rozansky homology
note Gornik's perturbation Khovanov-Rozansky homology
2011/1/21
We show that the information contained in the associated graded vector space to Gornik’s version of Khovanov-Rozansky knot homology is equivalent to a single even integer sn(K). Furthermore we show th...
The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant
contact homology of Legendrian knots maximal Thurston-Bennequin invariant
2011/2/25
We show that there exists a Legendrian knot with maximal Thurston-Bennequin invariant whose contact homology is trivial. We also provide another Legendrian knot which has the same knot type and classi...
A Lefschetz duality intersection homology
Lefschetz duality intersection homology singular sets
2011/1/21
We prove a Lefschetz duality result for intersection homology. Usually, this result applies to pseudomanifolds with boundary which are assumed to have a ”collared neighborhood of their boundary”. Our ...
Contact Homology of Orbit Complements and Implied Existence
Contact Homology of Orbit Complements Implied Existence
2011/1/19
For Reeb vector elds on closed 3-manifolds, cylindrical contact homology is used to show that the existence of a set of closed Reeb orbit with certain knotting/linking properties implies the existenc...
The SO(3) Kauffman polynomial and the chromatic polynomial of planar graphs are categorified by a unique extension of the Khovanov homology framework. Many structural observations and computations of ...
Sutured Floer homology distinguishes between Seifert surfaces
Sutured Floer homology distinguishes Seifert surfaces
2011/3/1
In this note we exhibit the first example of a knot K in the three-sphere S3 with a pair of minimal genus Seifert surfaces R1 and R2 that can be distinguished using the sutured Floer homology of their...