O(2) action on the 5-sphere.
On isomorphisms between fibrations over associated with a action
On residue formulas for characteristic numbers
We show that coefficients of residue formulas for characteristic numbers associated to a smooth toral action on a manifold can be taken in a quotient field This yields canonical identities over the integers and, reducing modulo two, residue formulas for Stiefel Whitney numbers.
On the equivariant homotopy of spheres [Book]
On the four-dimensional -manifolds of positive Ricci curvature.
On the Geometric Weight System of Differentiable Compact Transformation Groups on Acyclic Manifolds.
On the G-spaces having an -G-CW-approximation by a G-CW-complex of finite G-type
On the homotopy groups of some equivariant automorphism groups of spheres
On the linearization theorem for proper Lie groupoids
We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated throughout...
On the Orbit Structures of SU (n)-Actions on Manifolds of the Type of Euclidean, Spherical or Projective Spaces.
On the Segal conjecture for compact Lie groups.
On the semisimple degree of symmetry
Orbit projections as fibrations
The orbit projection of a proper -manifold is a fibration if and only if all points in are regular. Under additional assumptions we show that is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: is a -quasifibration if and only if all points are regular.