The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 183 Next

Displaying 3641 – 3660 of 8747

Showing per page

Lines vortices in the U(1) - Higgs model

Tristan Riviere (2010)

ESAIM: Control, Optimisation and Calculus of Variations

For a given U(1)-bundle E over M = λ 2 {x1, ..., xn}, where the xi are n distinct points of λ 2 , we minimise the U(1)-Higgs action and we make an asymptotic analysis of the minimizers when the coupling constant tends to infinity. We prove that the curvature (= magnetic field) converges to a limiting curvature that we give explicitely and which is singular along line vortices which connect the xi. This work is the three dimensional equivalent of previous works in dimension two (see [3] and [4]). The...

Linking and the Morse complex

Michael Usher (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

For a Morse function f on a compact oriented manifold M , we show that f has more critical points than the number required by the Morse inequalities if and only if there exists a certain class of link in M whose components have nontrivial linking number, such that the minimal value of f on one of the components is larger than its maximal value on the other. Indeed we characterize the precise number of critical points of f in terms of the Betti numbers of M and the behavior of f with respect to links....

Liouville forms in a neighborhood of an isotropic embedding

Frank Loose (1997)

Annales de l'institut Fourier

A Liouville form on a symplectic manifold ( X , ω ) is by definition a potential β of the symplectic form - d β = ω . Its center M is given by β - 1 ( 0 ) . A normal form for certain Liouville forms in a neighborhood of its center is given.

Lissajous knots and billiard knots

Vaughan Jones, Józef Przytycki (1998)

Banach Center Publications

We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.

Currently displaying 3641 – 3660 of 8747