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Lifts of simple curves in finite regular coverings of closed surfaces.

Authors :
Irmer, Ingrid
Source :
Geometriae Dedicata; Jun2019, Vol. 200 Issue 1, p67-76, 10p
Publication Year :
2019

Abstract

Suppose S is a closed orientable surface and S ~ is a finite sheeted regular cover of S. When studying mapping class groups, the following question arose: do the lifts of simple curves from S generate H 1 (S ~ , Z) ? A family of examples is given for which the answer is "no". [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00465755
Volume :
200
Issue :
1
Database :
Complementary Index
Journal :
Geometriae Dedicata
Publication Type :
Academic Journal
Accession number :
136714842
Full Text :
https://doi.org/10.1007/s10711-018-0359-9