DukeSpace: Recent submissions
Now showing items 1-20 of 16218
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Intraseasonal variation of the summer rainfall over the Southeastern United States
(Climate Dynamics, 2018-07-06)© 2018 Springer-Verlag GmbH Germany, part of Springer Nature This study characterizes the intraseasonal variability (ISV) in the Southeastern United States (SE US) rainfall in boreal summer and delineates the associated ... -
Neurophysiology of Visual-Motor Learning during a Simulated Marksmanship Task in Immersive Virtual Reality
(25th IEEE Conference on Virtual Reality and 3D User Interfaces, VR 2018 - Proceedings, 2018-08-24)© 2018 IEEE. Immersive virtual reality (VR) systems offer flexible control of an interactive environment, along with precise position and orientation tracking of realistic movements. Immersive VR can also be used in conjunction ... -
Probabilistic inferential decision-making under time pressure in rhesus macaques (Macaca mulatta)
Decisions often involve the consideration of multiple cues, each of which may inform selection on the basis of learned probabilities. Our ability to use probabilistic inference for decisions is bounded by uncertainty and ... -
Single-Cell Transcriptomics Reveals Heterogeneity and Drug Response of Human Colorectal Cancer Organoids.
(Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, 2018-07)Organoids are three-dimensional cell cultures that mimic organ functions and structures. The organoid model has been developed as a versatile in vitro platform for stem cell biology and diseases modeling. Tumor organoids ... -
An experimental and computational framework for modeling multi-muscle responses to transcranial magnetic stimulation of the human motor cortex.
Current knowledge of coordinated motor control of multiple muscles is derived primarily from invasive stimulation-recording techniques in animal models. Similar studies are not generally feasible in humans, so a modeling ... -
ON ARC INDEX AND MAXIMAL THURSTON–BENNEQUIN NUMBER
(Journal of Knot Theory and Its Ramifications, 2012-04)We discuss the relation between arc index, maximal ThurstonBennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal ThurstonBennequin number for all knots with at most 11 ... -
Knot contact homology
(Geometry & Topology, 2013-04-30)The conormal lift of a link K in ℝ3is a Legendrian submanifold ∧Kin the unit cotangent bundle U*ℝ3of ℝ3with contact structure equal to the kernel of the Liouville form. Knot contact homology, a topological link invariant ... -
Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra
(Algebraic & Geometric Topology, 2013-08-01)We develop a close relation between satellites of Legendrian knots in ℝ3and the Chekanov-Eliashberg differential graded algebra of the knot. In particular, we generalize the well-known correspondence between rulings of a ... -
A topological introduction to knot contact homology
(Bolyai Society Mathematical Studies, 2014-01-01)This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects. -
Topological strings, D-model, and knot contact homology
(Advances in Theoretical and Mathematical Physics, 2014)© 2014 International Press. We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov- ... -
Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
(Journal of Differential Geometry, 2015-09)We give a combinatorial description of the Legendrian contact homology algebra associated to a Legendrian link in S1× S2or any connected sum #k(S1×S2), viewed as the contact boundary of the Weinstein manifold obtained by ... -
Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials
We sketch a construction of Legendrian Symplectic Field Theory (SFT) for conormal tori of knots and links. Using large $N$ duality and Witten's connection between open Gromov-Witten invariants and Chern-Simons gauge theory, we ... -
Legendrian contact homology in R^3
This is an introduction to Legendrian contact homology and the Chekanov-Eliashberg differential graded algebra, with a focus on the setting of Legendrian knots in $\mathbb{R}^3$. -
On transverse invariants from Khovanov homology
(Quantum Topology, 2015)© European Mathematical Society. In [31], O. Plamenevskaya associated to each transverse knot K an element of the Khovanov homology of K. In this paper, we give two re_nements of Plamenevskaya’s invariant, one valued in ... -
The cardinality of the augmentation category of a Legendrian link
(Mathematical Research Letters, 2017)We introduce a notion of cardinality for the augmentation category associated to a Legendrian knot or link in standard contact R3. This ℓhomotopy cardinality' is an invariant of the category and allows for a weighted count ... -
Obstructions to Lagrangian concordance
(Algebraic & Geometric Topology, 2016-04-26)We investigate the question of the existence of a Lagrangian concordance between two Legendrian knots in $\mathbb{R}^3$. In particular, we give obstructions to a concordance from an arbitrary knot to the standard ... -
Knot contact homology, string topology, and the cord algebra
(Journal de l’École polytechnique — Mathématiques, 2017)The conormal Lagrangian LKof a knot K in R3is the submanifold of the cotangent bundle T∗R3consisting of covectors along K that annihilate tangent vectors to K. By intersecting with the unit cotangent bundle S∗R3, one obtains ... -
Representations, sheaves, and Legendrian $(2,m)$ torus links
We study an $A_\infty$ category associated to Legendrian links in $\mathbb{R}^3$ whose objects are $n$-dimensional representations of the Chekanov-Eliashberg differential graded algebra of the link. This representation category ...
