8k citations
- D. Schaile9 profiles93 · h 87
- R. McCarthy9 profiles88 · h 75
- S. Desai4 profiles88 · h 89
- D. Brown5 profiles87 · h 67
- K. M. Chan2 profiles81
- A. Quadt10 profiles80 · h 86
- P. Ermolov3 profiles80 · h 50
- P. Renkel10 profiles80 · h 51
- A. Harel10 profiles79 · h 107
- A. Meyer3 profiles79 · h 142
- B. Åsman9 profiles79 · h 98
- C. Bélanger-Champagne2 profiles79 · h 92
- Brookhaven National LaboratoryUS131 papers
- Centre National de la Recherche ScientifiqueFR115 papers
- Iowa State UniversityUS111 papers
- Princeton UniversityUS111 papers
- Stony Brook UniversityUS110 papers
- University of California, BerkeleyUS106 papers
- University of California, RiversideUS106 papers
- University of Maryland, College ParkUS105 papers
- University of MichiganUS105 papers
- Florida State UniversityUS103 papers
- Joint Institute for Nuclear ResearchRU102 papers
- Korea UniversityKR101 papers
5 papers · 2 filters
On the Colored Jones Polynomial, Sutured Floer homology, and Knot Floer homology
J. Elisenda Grigsby, Stephan Wehrli
Let K in S^3 be a knot, and let \widetilde{K} denote the preimage of K inside its double branched cover, Σ(K). We prove, for each integer n > 1, the existence of a spectral sequenc…
Grid Diagrams and Legendrian Lens Space Links
Kenneth L. Baker, J. Elisenda Grigsby
Grid diagrams encode useful geometric information about knots in S^3. In particular, they can be used to combinatorially define the knot Floer homology of a knot K in S^3, and they…
The 2-generalized knot group determines the knot
Sam Nelson, Walter D. Neumann
Generalized knot groups were introduced independently by Kelly (1991) and Wada (1992). We prove that determines the unoriented knot type and sketch a proof of the…
A computation in Khovanov-Rozansky Homology
Daniel Krasner
We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, w…
On standard forms of 1--dominations between knots with same Gromov volumes
Michel Boileau, Yi Ni, Shicheng Wang
Let and be two knots in 3-sphere. Say 1--dominates , if there is a proper degree 1 map $f\co E(k)\to E(k')$, between knot exterior of . Theorem: Suppose that…