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Published: 21/09/2017Wild salmon, historically, are born in rivers, swim to sea to live out their adulthoods, and find their way back to their freshwater spawning grounds to reproduce before dying. Read moreSource: www.ucdavis.edu


Published: 21/09/2017We reconfigure the Milnor invariant of links in terms of central group extensions and unipotent Magnus embeddings. We also develop a diagrammatic computation of the invariant and compute the first non ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017This is a survey on the recent progress in several applications of isoparametric theory, including an affirmative answer to Yau's conjecture on the first eigenvalue of Laplacian in the isoparametric c ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017Let $\Gamma$ be a discrete group. Assuming rational injectivity of the BaumConnes assembly map, we provide new lower bounds on the rank of the positive scalar curvature bordism group and the relativ ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017In this note, we combine the recent 4dimensional light bulb theorem of David Gabai and a recent construction of concordances for knots in $S^2\times S^1$ due to Eylem Zeliha Yildiz to construct a con ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017Let $F_g$ denote a closed oriented surface of genus $g$. A set of simple closed curves is called a filling of $F_g$ if its complement is a disjoint union of discs. The mapping class group $\text{Mod}( ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017We study the family $\Omega^1(s)$ of rational 1forms on the Riemann sphere, having exactly $s \leq 2$ simple poles. Three equivalent $(2s1)$dimensional complex parametrizations on $\Omega^1(s ... Read moreSource: math.ucdavis.edu

Published: 21/09/2017In this paper, we investigate three geometrical invariants of knots, the height, the trunk and the representativity.First, we give a conterexample for the conjecture which states that the height is ad ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017Woody vegetation, such as trees and shrubs, has increased dramatically in Ozark grasslands over the past 75 years, according to a study published this week in the journal Landscape Ecology. Read moreSource: www.ucdavis.edu

Published: 20/09/2017A “makerspace” for biologists and engineers is helping University of California, Davis, students get handson experience in developing and prototyping their ideas. Read moreSource: www.ucdavis.edu

Published: 20/09/2017We prove the existence of symmetric critical torus knots for O'Hara's knot energy family $E_\alpha$, $\alpha\in (2,3)$ using Palais' classic principle of symmetric criticality. It turns out that in ev ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017The Hurwitz problem asks which ramification data are realizable, that is appear as the ramification type of a covering. We use dessins d'enfant to show that families of genus 1 regular ramification da ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017Let M be a closed Riemannian manifold. We extend the product of GoreskyHingston, on the cohomology of the free loop space of $M$ relative to the constant loops, to a nonrelative product. It is assoc ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017For every positive, continuous and homogeneous function $f$ on the space of currents on a closed surface $\Sigma$, and for every filling current $\alpha$, we compute as $L \to \infty$, the number of m ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017We present a general method to compute a presentation for any cusped hyperbolic lattice $\Gamma$, applying a classical result of Macbeath to a suitable $\Gamma$invariant horoball cover of the corresp ... Read moreSource: math.ucdavis.edu

Published: 20/09/2017The University of California, Davis, Office of Development and Alumni Relations and the UC Davis Foundation today (Sept. Read moreSource: www.ucdavis.edu

Published: 20/09/2017We show that the limiting unicolored $\mathfrak{sl}(N)$ KhovanovRozansky chain complex of any infinite positive braid categorifies a highestweight projector. This result extends an earlier result of ... Read moreSource: math.ucdavis.edu

Published: 19/09/2017New reimbursement rates are coming in midOctober for lodging and meals for UC business travel, the UC Office of the President announced last week. Read moreSource: www.ucdavis.edu

Published: 19/09/2017RELATED COVERAGE “Chancellor, UC System Fight Back on DACA” Read moreSource: www.ucdavis.edu

Published: 19/09/2017This is an introductory article on high dimensional knots for the beginners. High dimensional knot theory is an exciting field. It is a field of knot theory, which is one of topology and is connected ... Read moreSource: math.ucdavis.edu

Published: 19/09/2017We prove that for n>2 there exists a quandle of cyclic type of size n if and only if n is a power of a prime number. This establishes a conjecture of S. Kamada, H. Tamaru and K. Wada. As a corollary, ... Read moreSource: math.ucdavis.edu
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