On the topology of real bundle pairs over nodal symmetric surfaces

Penka Georgieva; Aleksey Zinger

doi:10.1016/j.topol.2016.10.002

On the topology of real bundle pairs over nodal symmetric surfaces

Penka Georgieva
, Aleksey Zinger

Mathematics

Institut de Mathématiques de Jussieu-Paris Rive Gauche

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over symmetric surfaces. The two statements together describe the isomorphisms between real bundle pairs over symmetric surfaces up to deformation.

Original language	English
Pages (from-to)	109-126
Number of pages	18
Journal	Topology and its Applications
Volume	214
DOIs	https://doi.org/10.1016/j.topol.2016.10.002
State	Published - Dec 1 2016

Keywords

Classification
Real bundle pairs
Symmetric surfaces

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10.1016/j.topol.2016.10.002

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title = "On the topology of real bundle pairs over nodal symmetric surfaces",

abstract = "We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over symmetric surfaces. The two statements together describe the isomorphisms between real bundle pairs over symmetric surfaces up to deformation.",

keywords = "Classification, Real bundle pairs, Symmetric surfaces",

author = "Penka Georgieva and Aleksey Zinger",

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year = "2016",

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T1 - On the topology of real bundle pairs over nodal symmetric surfaces

AU - Georgieva, Penka

AU - Zinger, Aleksey

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over symmetric surfaces. The two statements together describe the isomorphisms between real bundle pairs over symmetric surfaces up to deformation.

AB - We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over symmetric surfaces. The two statements together describe the isomorphisms between real bundle pairs over symmetric surfaces up to deformation.

KW - Classification

KW - Real bundle pairs

KW - Symmetric surfaces

UR - https://www.scopus.com/pages/publications/84992641020

U2 - 10.1016/j.topol.2016.10.002

DO - 10.1016/j.topol.2016.10.002

M3 - Article

AN - SCOPUS:84992641020

SN - 0016-660X

VL - 214

SP - 109

EP - 126

JO - Topology and its Applications

JF - Topology and its Applications

ER -

On the topology of real bundle pairs over nodal symmetric surfaces

Abstract

Keywords

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