Geodesic
CLASSIFYING CLOSED 2-ORBIFOLDS WITH EULER CHARACTERISTICS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 555-574

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DOI

We determine the extent to which the collection of Γ-Euler–Satake characteristics classify closed 2-orbifolds. In particular, we show that the closed, connected, effective, orientable 2-orbifolds are classified by the Γ-Euler–Satake characteristics corresponding to free or free abelian Γ and are not classified by those corresponding to any finite set of finitely generated discrete groups. These results demonstrate that the Γ-Euler–Satake characteristics corresponding to free abelian Γ constitute new invariants of orbifolds. Similarly, we show that such a classification is neither possible for non-orientable 2-orbifolds nor for non-effective 2-orbifolds using any collection of groups Γ.
DOI : 10.1017/S001708951000042X
Mots-clés : Primary 57R20, 57S17, Secondary 22A22, 57P99 
DUVAL, WHITNEY; SCHULTE, JOHN; SEATON, CHRISTOPHER; TAYLOR, BRADFORD. CLASSIFYING CLOSED 2-ORBIFOLDS WITH EULER CHARACTERISTICS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 555-574. doi: 10.1017/S001708951000042X
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     author = {DUVAL, WHITNEY and SCHULTE, JOHN and SEATON, CHRISTOPHER and TAYLOR, BRADFORD},
     title = {CLASSIFYING {CLOSED} {2-ORBIFOLDS} {WITH} {EULER} {CHARACTERISTICS}},
     journal = {Glasgow mathematical journal},
     pages = {555--574},
     year = {2010},
     volume = {52},
     number = {3},
     doi = {10.1017/S001708951000042X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951000042X/}
}
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