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On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Transitivity and rotation sets with nonempty interior for homeomorphisms of the 2-Torus
Torus homeomorphisms rotation set transitivity omega limits
2011/1/18
We show that, if f is a homeomorphism of the 2–torus isotopic to the identity, and its lift e f is transitive, or even if it is transitive outside of the lift of the elliptic islands, then (0, 0) is i...
Topology Change and Vector Modules on Noncommutative Surfaces of Rotation
Topology Vector Modules Noncommutative Surfaces of Rotation
2010/10/29
A non associative, noncommutative algebra is defined that may be interpreted as a set of vector modules over a noncommutative surface of rotation. Two of these vector modules are identified with the ...