O ct 2 00 3 Maximally irregularly fibred surfaces of general type
نویسنده
چکیده
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subject Classification 2000. 14J10, 14J29, 14D06
منابع مشابه
ct 2 00 4 Maximally irregularly fibred surfaces of general type
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subj...
متن کاملMaximally irregularly fibred surfaces of general type
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subj...
متن کامل2 8 O ct 2 00 5 Closed 3 - braids are nearly fibred
Ozsváth and Szabó conjectured that knot Floer homology detects fibred links. We will verify this conjecture for closed 3-braids, by classifying fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by a half twist. The proof uses Gabai’s method of disk decomposition. AMS Classification 57M27; 57R58.
متن کاملO ct 2 00 5 Closed 3 - braids are nearly fibred
Ozsváth and Szabó conjectured that knot Floer homology detects fibred links. We will verify this conjecture for closed 3-braids, by classifying fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by a half twist. The proof uses Gabai’s method of disk decomposition. AMS Classification 57M27; 57R58.
متن کامل1 2 O ct 2 00 5 Closed 3 - braids are nearly fibred
Ozsváth and Szabó conjectured that knot Floer homology detects fibred links. We will verify this conjecture for closed 3-braids, by classifying fibred closed 3-braids. In particular, given a nontrivial closed 3-braid, either it is fibred, or it differs from a fibred link by a half twist. The proof uses Gabai’s method of disk decomposition. AMS Classification 57M27; 57R58.
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تاریخ انتشار 2003