Open book decompositions of links of quotient surface singularities and support genus problem
[ X ]
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we write explicitly the open book decompositions of links of quotient surface singularities supporting the corresponding unique Milnor fillable contact structure. The page-genus of these Milnor open books are minimal among all Milnor open books supporting the same contact structure. We also investigate whether the Milnor genus is equal to the support genus for links of quotient surface singularities. We show that for many types of the quotient surface singularities the Milnor genus is equal to the support genus. In the remaining cases we are able to find a small upper bound for the support genus. © 2020 the Author(s), licensee AIMS Press.
Açıklama
Anahtar Kelimeler
Contact structure, Milnor genus, Open book decomposition, Quotient surface singularities, Support genus
Kaynak
AIMS Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
5
Sayı
1
