Surface bundles

A collection of papers on surface bundles F²→E⁴→B², particularly the signature σ(E) ∈ Z.

S.Chern, F.Hirzebruch and J.P.Serre On the index of a fibered manifold, Proc. Amer. Math. Soc. 8, 587--596 (1957)

K.Kodaira A certain type of irregular algebraic surfaces, J. Analyse Math.19, 207--215 (1967)

M.Atiyah The signature of fibre-bundles, Global Analysis (Papers in Honor of Kodaira), 73--84, U. Tokyo Press (1969)

F.Hirzebruch The signature of ramified coverings, Global Analysis (Papers in Honor of Kodaira), 253--265, U. Tokyo Press (1969)

W. Meyer Die Signatur von lokalen Koeffizientensystemen und Faserbündeln, Bonn. Math. Schr. 53 (1972)

W. Meyer Die Signatur von Flächenbündeln, Math. Ann. 201, 239--264 (1973)

J.Roitberg, The signature of quasi-nilpotent fiber bundles, Invent. Math. 39, 91--94 (1977)

V.Turaev A cocycle of the symplectic first Chern class and the Maslov indices Funktsional. Anal. i Prilozhen. 18, 43--48 (1984)

V.Turaev The first symplectic Chern class and Maslov indices, Studies in topology, Steklov Inst., Leningrad (LOMI)143, 110--129, 178 (1985)

M.Atiyah, The logarithm of the Dedekind η-function Math. Ann. 278, 335--380 (1987)

W.Lück and A.Ranicki Surgery obstructions of fibre bundles Journal of Pure and Applied Algebra 81, 139--189 (1992)

H.Endo A construction of surface bundles over surfaces with non-zero signature Osaka J. Math. 35, 915--930 (1998)

D.Kotschick Signatures, monopoles and mapping class groups, Mathematical Research Letters 5, 227-234 (1998)

M.Hoster A new proof of the signature formula for surface bundles, Topology and its Applications 112, 205--213 (2001)

J.Bryan, R.Donagi and A.Stipsicz Surface bundles: some interesting examples, Turkish J. Math. 25, 61--68 (2001)

J.Bryan and R.Donagi Surface bundles over surfaces of small genus, Geometry and Topology 6, 59--67 (2002)

H.Endo, M.Korkmaz, D.Kotschick, B.Ozbagci and A.Stipsicz Commutators, Lefschetz fibrations and the signatures of surface bundles Topology 41, 961--977 (2002)

H.Endo and S.Nagami Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations Trans. AMS 357, 3179--3199 (2005)

A.Korzeniewski On the signature of fibre bundles and absolute Whitehead torsion Edinburgh Ph.D. thesis (2005)

T. Morifuji A note on von Neumann ρ-invariant of surface bundles over the circle Tohoku Mathematical Journal (2) 58, 123--127 (2006)

I.Hambleton, A.Korzeniewski and A.Ranicki The signature of a fibre bundle is multiplicative mod 4, Geometry and Topology 11, 251-314 (2007)

A.Akhmedov Surface bundles with non-zero signature Topology Appl.154, 2235--2240 (2007)

Y.Kuno Meyer functions and the signatures of fibered 4-manifolds http://arxiv.org/abs/1204.1701 (2012)

D.Calegari, N.Monden and M.Sato, On stable commutator length in hyperelliptic mapping class groups, Pacific J. Math. 272, 323-351 (2014)