Transformation Groups [electronic resource] : Proceedings of a Conference held in Osaka, Japan, Dec. 16–21, 1987 / edited by Katsuo Kawakubo.

Contributor(s): Kawakubo, Katsuo [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1375Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: X, 398 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540461784Subject(s): Mathematics | Group theory | Mathematics | Group Theory and GeneralizationsAdditional physical formats: Printed edition:: No titleDDC classification: 512.2 LOC classification: QA174-183Online resources: Click here to access online
Contents:
A personal perspective of differentiable transformation groups -- Smooth SL(2,C) actions on the 3-sphere -- "On finite domination and simple homotopy type of nonsimply-connected G-spaces" -- Modification of linking in representation forms -- Linking in cyclic representation forms -- The abhyankar-moh problem in dimension 3 -- The generalized whitehead torsion of a g fibre homotopy equivalence -- Circle actions on symplectic manifolds -- The isomorphism class of a representation of a compact lie group is determined by the equivariant simple-homotopy type of the representation -- The equivariant whitehead torsions of equivariant homotopy equivalences between the unit spheres of representations of cyclic groups -- On the characteristic numbers of unitary semi-free S1-manifolds -- Conformal circle actions on 3-manifolds -- Untwisted deform-spun knots: Examples of symmetry-spun 2-knots -- On some abelian complex reflection groups -- G-s-cobordism theorems do not hold in general for many compact lie groups G -- Congruences for the burnside ring -- The pontrjagin numbers of an orbit map and generalized G-signature theorem -- Seifert manifolds modelled on principal bundles -- Equivariant pseudo-isotopies and K?I -- A product formula for connected sum -- Most of the standard spheres have one fixed point actions of A5 -- Semilinear G-spheres and homotopy representation groups -- Connective K-theory of elementary abelian groups -- Normal representations over the connected components of fixed point sets -- Realization of the symmetry groups of links -- Pontryagin numbers and periodic diffeomorphisms of spheres -- Actions by isometries -- Free actions by p-groups on products of spheres and yagita’s invariant po(G) -- On extensions of non-linear actions on spheres -- Symmetries of simply-connected four-manifolds, especially algebraic surfaces -- The ring structure of U*(Zp) -- Fixed-point free SU(n)-actions.
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A personal perspective of differentiable transformation groups -- Smooth SL(2,C) actions on the 3-sphere -- "On finite domination and simple homotopy type of nonsimply-connected G-spaces" -- Modification of linking in representation forms -- Linking in cyclic representation forms -- The abhyankar-moh problem in dimension 3 -- The generalized whitehead torsion of a g fibre homotopy equivalence -- Circle actions on symplectic manifolds -- The isomorphism class of a representation of a compact lie group is determined by the equivariant simple-homotopy type of the representation -- The equivariant whitehead torsions of equivariant homotopy equivalences between the unit spheres of representations of cyclic groups -- On the characteristic numbers of unitary semi-free S1-manifolds -- Conformal circle actions on 3-manifolds -- Untwisted deform-spun knots: Examples of symmetry-spun 2-knots -- On some abelian complex reflection groups -- G-s-cobordism theorems do not hold in general for many compact lie groups G -- Congruences for the burnside ring -- The pontrjagin numbers of an orbit map and generalized G-signature theorem -- Seifert manifolds modelled on principal bundles -- Equivariant pseudo-isotopies and K?I -- A product formula for connected sum -- Most of the standard spheres have one fixed point actions of A5 -- Semilinear G-spheres and homotopy representation groups -- Connective K-theory of elementary abelian groups -- Normal representations over the connected components of fixed point sets -- Realization of the symmetry groups of links -- Pontryagin numbers and periodic diffeomorphisms of spheres -- Actions by isometries -- Free actions by p-groups on products of spheres and yagita’s invariant po(G) -- On extensions of non-linear actions on spheres -- Symmetries of simply-connected four-manifolds, especially algebraic surfaces -- The ring structure of U*(Zp) -- Fixed-point free SU(n)-actions.

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