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Straightening cell decompositions of cusped hyperbolic 3-manifolds

Marina Pescini (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let M be an oriented cusped hyperbolic 3-manifold and let τ be a topological ideal triangulation of M . We give a characterization for τ to be isotopic to an ideal geodesic triangulation; moreover we give a characterization for τ to flatten into a partially flat triangulation. Finally we prove that straightening combinatorially equivalent topological ideal cell decompositions gives the same geodesic decomposition, up to isometry.

Stratifications of polynomial spaces

Lev Birbrair (1998)

Publicacions Matemàtiques

In the paper we construct some stratifications of the space of monic polynomials in real and complex cases. These stratifications depend on properties of roots of the polynomials on some given semialgebraic subset of R or C. We prove differential triviality of these stratifications. In the real case the proof is based on properties of the action of the group of interval exchange transformations on the set of all monic polynomials of some given degree. Finally we compare stratifications corresponding...

Stratifications of teardrops

Bruce Hughes (1999)

Fundamenta Mathematicae

Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.

String picture of gauge fields

Jacek Pawełczyk (1997)

Banach Center Publications

The article reviews attempts to formulate the theory of gauge fields in terms of a string theory.

Strong surjectivity of maps from 2-complexes into the 2-sphere

Marcio Fenille, Oziride Neto (2010)

Open Mathematics

Given a model 2-complex K P of a group presentation P, we associate to it an integer matrix ΔP and we prove that a cellular map f: K P → S 2 is root free (is not strongly surjective) if and only if the diophantine linear system ΔP Y = d e g (f) has an integer solution, here d e g (f)is the so-called vector-degree of f

Currently displaying 281 – 300 of 445