Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic
نویسندگان
چکیده
منابع مشابه
Dehn Twists and Invariant Classes
A degeneration of compact Kähler manifolds gives rise to a monodromy action on Betti moduli space H (X,G) = Hom(π1(X), G)/G over smooth fibres with a complex algebraic structure group G being either abelian or reductive. Assume that the singularities of the central fibre is of normal crossing. When G = C, the invariant cohomology classes arise from the global classes. This is no longer true in ...
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We classify all FMm1,m2,n1,n2 -natural operators A transforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle L(Y ) on Y . Moreover, we classify all FMm1,m2,n1,n2 -natural operators B transforming projectable-projectable torsion-free classi...
متن کاملExotic iterated Dehn twists
Consider cotangent bundles of exotic spheres, with their canonical symplectic structure. They admit automorphisms which preserve the part at infinity of one fibre, and which are analogous to the square of a Dehn twist. Pursuing that analogy, we show that they have infinite order up to isotopy (inside the group of all automorphisms with the same behaviour).
متن کاملDehn Twists and Invariant Cocycles
A degeneration of compact Kähler manifolds gives rise to a monodromy action on Betti moduli space H (X,G) = Hom(π1(X), G)/G over smooth fibres with a complex algebraic structure group G being either abelian or reductive. Assume that the singularities of the central fibre is of normal crossing. When G = C, the invariant cocycles arise from the global cocycles. This is no longer true in general. ...
متن کاملDehn twists on the boundary
A homeomorphism of a 3-manifold M is said to be Dehn twists on the boundary when its restriction to ∂M is isotopic to the identity on the complement of a collection of disjoint simple closed curves in ∂M . In this paper, we give various results about such collections of curves and the associated homeomorphisms. In particular, if M is compact, orientable, irreducible and ∂M is a single torus, an...
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2014
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2014.v12.n2.a6