LaDeana W. Hillier, Tina A. Graves, Robert S. Fulton, Lucinda A. Fulton, Kymberlie H. Pepin, Patrick Minx, Caryn Wagner-McPherson, Dan Layman, Kristine Wylie, Mandeep Sekhon, Michael C. Becker, Ginger A. Fewell, Kimberly D. Delehaunty, Tracie L. Miner, William E. Nash, Colin Kremitzki, Lachlan Oddy, Hui Du, Hui Sun, Holland Bradshaw-Cordum, Johar Ali, Jason Carter, Matt Cordes, Anthony Harris, ...

The word synapse was coined by Sir Charles Sherrington, in 1897, to denote the normal anatomical relation between contiguous neurons (see Foster & Sherrington, 1897). In a footnote in his textbook The Physiology of the Nervous System (Fulton, 1938, p. 55), Fulton reports that he had writ ten to Sherr ington to ask him about the origin of the word synapse and that in reply Sherrington had explai...

We compute the Chow groups and Fulton–MacPherson’s operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of these varieties. We use the computation to answer one of the open problems about operational Chow cohomology: it does not have a natural map to ordinary ...

In this note we compare two notions of Chern class of an algebraic scheme X (over C) specializing to the Chern class of the tangent bundle c(TX) ∩ [X] when X is nonsingular. The first of such notions is MacPherson’s Chern class, defined by means of Mather-Chern classes and local Euler obstructions [5]. MacPherson’s Chern class is functorial with respect to a push-forward defined via topological...

Murray (1), MeBryde, Niles, and Moskey (2), and recently Fulton (3) have attempted to discover the nature of the inciting agent of swine influenza. Murray described a small Gram-negative coccus as the cause of the disease. By inoculating normal swine intravenously with relatively small doses of pure cultures of this organism, he induced a disease which he believed was clinically and pathologica...

We prove that Schur polynomials in Chern forms of Nakano and dual positive vector bundles are as differential forms. Moreover, modulo a statement about the positivity “double mixed discriminant” linear operators on matrices, which preserve cone definite we establish Griffiths weakly This provides differential-geometric versions Fulton–Lazarsfeld inequalities for ample bundles. An interpretation...

We prove a number of new results on the large-scale geometry \(L^p\)-metrics group area-preserving diffeomorphisms each orientable surface. Our proofs use in key way Fulton-MacPherson type compactification configuration space n points surface due to Axelrod-Singer and Kontsevich. This allows us apply Schwarz-Milnor lemma spaces, natural approach which we carry out successfully for first time. A...

Start with n particles at each of k points in the d-dimensional lattice, and let each particle perform simple random walk until it reaches an unoccupied site. The law of the resulting random set of occupied sites does not depend on the order in which the walks are performed, as shown by Diaconis and Fulton. We prove that if the distances between the starting points are scaled by n, then the set...

The cyclohedron Wn, known also as the Bott-Taubes polytope, arises both as the polyhedral realization of the poset of all cyclic bracketings of the word x1x2 . . . xn and as an essential part of the Fulton-MacPherson compactification of the configuration space of n distinct, labelled points on the circle S1. The “polygonal pegs problem” asks whether every simple, closed curve in the plane or in...