How to Conjugate C1-Close Group Actions.
Icosahedral group actions on R3.
Index invariants of orbit spaces.
Integral Invariants of Principal SO(n)(r)Grouv Structures on Space Forms.
Jacobi Fields and Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems.
Lifting smooth homotopies of orbit spaces
Linear hamiltonian circle actions that generate minimal Hilbert bases
The orbit space of a linear Hamiltonian circle action and the reduced orbit space, at zero, are examples of singular Poisson spaces. The orbit space inherits the Poisson algebra of functions invariant under the linear circle action and the reduced orbit space inherits the Poisson algebra obtained by restricting the invariant functions to the reduced space. Both spaces reside inside smooth manifolds, which in turn inherit almost Poisson structures from the Poisson varieties. In this paper we consider...
Moment-angle complexes from simplicial posets
We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated to...
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