Liftable homeomorphisms of rank two finite abelian branched covers

Date

2020-11-01

Author

Atalan, Ferihe
Medetogullari, Elif
Ozan, Yıldıray

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

280
views

0
downloads

We investigate branched regular finite abelian A-covers of the 2-sphere, where every homeomorphism of the base (preserving the branch locus) lifts to a homeomorphism of the covering surface. In this study, we prove that if A is a finite abelian p-group of rank k and Sigma -> S-2 is a regular A-covering branched over n points such that every homeomorphism f:S-2 -> S-2 lifts to Sigma, then n = k + 1. We will also give a partial classification of such covers for rank two finite p-groups. In particular, we prove that for a regular branched A-covering pi : Sigma -> S-2, where A = ZprxZpt, 1 S-2 lift to those of Sigma if and only if t = r or t = r + 1 and p = 3.

URI

https://hdl.handle.net/11511/69603

Journal

ARCHIV DER MATHEMATIK

DOI

https://doi.org/10.1007/s00013-020-01501-z

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Liftable homeomorphisms of rank two finite abelian branched covers Atalan, Ferihe; Medetoğulları, Elif; Ozan, Yıldıray (Springer Nature Switzerland AG, 2020) We investigate branched regular finite abelian A-covers of the 2-sphere, where every homeomorphism of the base (preserving the branch locus) lifts to a homeomorphism of the covering surface. In this study, we prove that if A is a finite abelian p-group of rank k and Σ → S2 is a regular A-covering branched over n points such that every homeomorphism f : S2 → S2 lifts to Σ, then n = k+1. We will also give a partial classification of such covers for rank two finite p-groups. In particular, we prove that for a ...
Liftable homeomorphisms of cyclic and rank two finite abelian branched covers over the real projective plane Atalan, Ferihe; Medetogullari, Elif; Ozan, Yıldıray (Elsevier BV, 2021-02-01) © 2020 Elsevier B.V.In this note, we investigate the property for regular branched finite abelian covers of the real projective plane, where each homeomorphism of the base (preserving the branch locus) lifts to a homeomorphism of the covering surface.
Legendrian realization in convex Lefschetz fibrations and convex stabilizations Akbulut, Selman; Arıkan, Mehmet Fırat (Walter de Gruyter GmbH, 2015-05-01) We show that, up to a Liouville homotopy and a deformation of compact convex Lefschetz fibrations on W, any Lagrangian submanifold with trivial first de Rham cohomology group, embedded on a (symplectic) page of the (induced) convex open book on partial derivative W, can be assumed to be Legendrian in partial derivative W with the induced contact structure. This can be thought as the extension of Giroux's Legendrian realization (which holds for contact open books) for the case of convex open books. We also s...
Noncommutative nonlinear sigma models and integrability Kürkcüoğlu, Seçkin (American Physical Society (APS), 2008-09-01) We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
CP violation in polarized B -> pi l(+)l(-) and B -> pl(+)l(-) decays Erkol, G; Wagenaar, JW; Turan, Gürsevil (Springer Science and Business Media LLC, 2005-05-01) We study the decay rate and the CP violating asymmetry of the exclusive B -> pi l(+)l(-) and B -> rho l(+)l(-) decays in the case where one of the final leptons is polarized. We calculate the contributions coming from the individual polarization states in order to identify a so-called wrong sign decay, which is a decay with a given polarization, whose width and CP asymmetry are smaller as compared to the unpolarized one. The results are presented for electrons and tau leptons. We observe that in particular ...

Citation Formats

F. Atalan, E. Medetogullari, and Y. Ozan, “Liftable homeomorphisms of rank two finite abelian branched covers,” ARCHIV DER MATHEMATIK, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/69603.