Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations

DOI10.1090/S0002-9947-04-03643-8zbMath1081.57023MaRDI QIDQ4671898

Seiji Nagami, Hisaaki Endo

Publication date: 27 April 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

signaturemapping class groupLefschetz fibrationsignature cocycle

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General low-dimensional topology (57M99) Characteristic classes and numbers in differential topology (57R20) Fibrations, degenerations in algebraic geometry (14D06)

Related Items

Constructing Lefschetz fibrations via daisy substitutions, Low-slope Lefschetz fibrations, Small genus-$4$ Lefschetz fibrations on simply-connected $4$-manifolds, Chart description for hyperelliptic Lefschetz fibrations and their stabilization, Unchaining surgery and topology of symplectic 4-manifolds, Small exotic 4-manifolds and symplectic Calabi-Yau surfaces via genus-3 pencils, A positive factorization for the balanced superelliptic rotation, A note on the signature of Lefschetz fibrations with planar fiber, Holonomies and the slope inequality of Lefschetz fibrations, Lantern relations and rational blowdowns, Nonholomorphic Lefschetz fibrations with \((-1)\)-sections, Counting Dirac braid relators and hyperelliptic Lefschetz fibrations, Small Lefschetz fibrations and exotic 4-manifolds, Presentations of periodic maps on oriented closed surfaces of genera up to 4, Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\), Symplectic surgeries along certain singularities and new Lefschetz fibrations, Partial fiber sum decompositions and signatures of Lefschetz fibrations, Signatures of surface bundles and scl of a Dehn twist, FINITE PRESENTATIONS OF CENTRALLY EXTENDED MAPPING CLASS GROUPS, Bilinear-form invariants of Lefschetz fibrations over the 2-sphere, Lefschetz fibrations

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