A local signature for fibered 4-manifolds with a finite group action
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In this article, a local signature for the class of fibered 4-manifolds whose general fibers are isomorphic to a regular covering was constructed for a 2-sphere with at least three branch points.Abstract:
Let $p$ be a finite regular covering on a 2-sphere with at least three branch points. In this paper, we construct a local signature for the class of fibered 4-manifolds whose general fibers are isomorphic to the covering $p$.read more
Citations
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Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries
Nariya Kawazumi,Takeshi Uemura +1 more
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A topological approach to indices of geometric operators on manifolds with fibered boundaries
TL;DR: In this paper, the authors investigated the topological aspects of indices of twisted geometric operators on manifolds equipped with fibered boundaries and proved various properties of these indices using groupoid deformation techniques.
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A Topological Approach to Indices of Geometric Operators on Manifolds with Fibered Boundaries
TL;DR: In this article, the authors investigated topological aspects of indices of twisted geometric operators on manifolds equipped with fibered boundaries and proved various properties of these indices using groupoid deformation techniques.
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The abelianization of a symmetric mapping class group
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References
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Book
Braids, Links, and Mapping Class Groups
TL;DR: Artin's braid group has been studied extensively in the literature as discussed by the authors, where structural and algebraic properties of the braid groups of two manifolds of two different scales have been studied.
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Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin's braid group
Joan S. Birman,Hugh M. Hilden +1 more
TL;DR: In this article, a homeomorphism g : X -> X is said to be fiber-preserving with respect to the triplet (p, X, X) if, for every pair of points x, x'e l the condition p(x) = p (x') implies pg(x), x' e l = pg (x), and if g is isotopic to the identity map via an isotopy gs, then g is fiber-isotopic to 1.