Cohomological structure of a space

In this paper, we study the relationships between the cohomological structure of a space and that of the fixed point set of a finite dimensional pro-torus action on the space. This paper is about finite dimensional compact groups. The concept of the dimension of a compact topological group plays an essential role in transformation group theory.

9p nutifooddau 21-01-2019 30 1   Download

If there exists a set of canonical classes on a compact Hamiltonian-T -space in the sense of R Goldin and S Tolman, we derive some formulas for certain equivariant structure constants in terms of other equivariant structure constants and the values of canonical classes restricted to some fixed points.

9p danhdanh27 07-01-2019 12 2   Download