...smussen), Larsine Petrea Henriette Rasmussen, Andrea Jensine Rasmussen, Jens Emanuel Rasmussen, Marius Rasmussen, Harriet Rasmussen, Math... Sct. We argue that this unification should be accomplished by a triply graded homology theory that categorifies the HOMFLY polynomial. Genealogy for Jakob Andreas Rasmussen (1875 - 1950) family tree on Geni, with over 190 million profiles of ancestors and living relatives. Jacob Rasmussen 2, 129--160. https://projecteuclid.org/euclid.em/1175789736, © We use Lee’s work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the smooth slice genus of K. As a corollary, we give a purely combinatorial proof of the Milnor conjecture. Catharina, Hjørring, Hjørring, Denmark. Experiment. The Superpolynomial for Knot Homologies. [AFT12] Structured singular manifolds and factorization homology - Ayala, David et al. Categorification of the Kauffman bracket skein module of I-bundles over surfaces (electronic). Project Euclid, 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}, 57R56: Topological quantum field theories, 81T30: String and superstring theories; other extended objects (e.g., branes) [See also 83E30], 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants [See also 53D45], Colored Khovanov–Rozansky homology for infinite braids, Some differentials on Khovanov–Rozansky homology, Khovanov–Rozansky homology via a canopolis formalism, A note on Gornik's perturbation of Khovanov–Rozansky homology, Khovanov-Rozansky homology of two-bridge knots and links, Remarks on coloured triply graded link invariants, Framed graphs and the non-local ideal in the knot Floer cube of resolutions, $\mathfrak{sl}(N)$–link homology ($N\geq 4$) using foams and the Kapustin–Li formula, The Hilbert scheme of a plane curve singularity and the HOMFLY homology of its link. Moreover, this theory should have an additional formal structure of a family of differentials. We include many examples in which we can exhibit a likely candidate for the triply graded theory, and these demonstrate the internal consistency of our axioms. Nathan M. Dunfield, Sergei Gukov, and Jacob Rasmussen. Math., Volume 15, Issue 2 (2006), 129-160. While we do not give a mathematical definition of the triply graded theory, the rich formal structure we propose is powerful enough to make many nontrivial predictions about the existing knot homologies that can then be checked directly.
Editorial Board Arthur Bartels Andrew Blumberg Jeffrey F. Brock Simon Donaldson Cornelia Drutu Badea Mark Gross Lars Hesselholt Misha Kapovich Frances Kirwan Marc Lackenby Jacob Rasmussen He can cook, too. SourceExperiment. The Mathematical Sciences Research Institute (MSRI), founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. Duke Math. We conclude with a detailed study of torus knots, developing a picture that gives new predictions even for the original $\mathrm{sl}(2)$ Khovanov homology. 15 (2006), no. Half brother of Christine Elisabeth Christensen; Larsine Petrea Henriette Rasmussen; Andrea Jensine Jørgensen and Harriet Mattson. arXiv:1206.5164 [math.AT] [Akb10] 2010. Selman Akbulut.
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2020 Andreas Rasmussen, Jensine Frederikke Rasmussen (born Lassen). Geni requires JavaScript! Some differentials on Khovanov–Rozansky homology Rasmussen, Jacob, Geometry & Topology, 2015; Colored Khovanov–Rozansky homology for infinite braids Abel, Michael and Willis, Michael, Algebraic & Geometric Topology, 2019; Khovanov–Rozansky homology via a canopolis formalism Webster, Ben, Algebraic & Geometric Topology, 2007; A note on Gornik's perturbation of Khovanov–Rozansky … CAS Subcommittee on Academic Sponsors Day, CAS Subcommittee on Summer Graduate Schools, Anti-Discrimination and Harassment Policy, Governance Meetings: Travel Policies & Procedures, Researchers: Travel Policies & Procedures, Airline Travel Reimbursement Restrictions, MSRI Evans Lecture Series: "Slicing and surgery", Research Workshop: Homology Theories of Knots and Links, Holomorphic triangles and maps induced by contact structures. Brother of Rasmus Rasmussen; Jacobine Christine Rasmussen; Alexander Rasmussen; Niels Christian Rasmussen; Jens Emanuel Rasmussen and 2 others; Marius Rasmussen and Mathilde Andrea Rasmussen « less (2), 171(3):2171-2175. [APS04] Marta M. Asaeda, Józef H. Przytycki, and Adam S. Sikora. of Math.
Editorial Board Managing Editor Marc Lackenby. Husband of Petra Anna Dorthea Rasmussen and Louise Nielsen Roughly speaking, the triply graded theory by itself captures the large-$N$ behavior of the $\mathrm{sl}(N)$ homology, and differentials capture nonstable behavior for small $N$, including knot Floer homology. Cappell-Shaneson homotopy spheres are standard. Khovanov-Rozansky homology of two-bridge knots and links. Math. Experience DatesFirst available in Project Euclid: 5 April 2007, Permanent link to this documenthttps://projecteuclid.org/euclid.em/1175789736, Mathematical Reviews number (MathSciNet) MR2253002, Subjects Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57R56: Topological quantum field theories 57R58: Floer homology 81T30: String and superstring theories; other extended objects (e.g., branes) [See also 83E30] 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants [See also 53D45], KeywordsHOMFLY polynomial Khovanov-Rozansky homology knot Floer homology, Dunfield, Nathan M.; Gukov, Sergei; Rasmussen, Jacob. ... Jacob Andreas Rasmussen in MyHeritage family trees (Erdland Web Site) Jacob Andreas Rasmussen in FamilySearch Family Tree . We propose a framework for unifying the $\mathrm{sl}(N)$ Khovanov--Rozansky homology (for all $N$) with the knot Floer homology. jtop@lms.ac.uk . MSRI is a 501(c)3 tax-exempt organization and your donation is tax-deductible within the guidelines of U.S. law. MSRI has been supported from its originsby the National Science Foundation,now joined by the National Security Agency,over 100 Academic Sponsor departments,by a range of private foundations,and by generous and farsighted individuals. Father of Niels Christian Rasmussen; Gerda Jensine Rasmussen and Aage Marinus Helsbøl 2004. The differentials themselves should come from another variant of $\mathrm{sl}(N)$ homology, namely the deformations of it studied by Gornik, building on work of Lee. Jacob Rasmussen has the super-human ability to learn any technology and own it faster and better than any resume-stuffed-with-buzz-words, rockstar-wannabe candidate. Volume 136, Number 3 (2007), 551-583.
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