-adic towers in topology.
-local Johnson-Wilson spectra and their Hopf algebroids.
Idempotent Topological Groupoids with Non-Empty Center.
Idempotents and Landweber exactness in brave new algebra.
Indecomposable racks of order .
Injective comodules and Landweber exact homology theories
We classify the indecomposable injective E(n)⁎E(n)-comodules, where E(n) is the Johnson-Wilson homology theory. They are suspensions of the , where 0 ≤ r ≤ n, with the endomorphism ring of being , where denotes the completion of E(r).
Integrating central extensions of Lie algebras via Lie 2-groups
The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups in the sense of [Get09, Hen08]. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of for each finite-dimensional Lie group. This fact was used by Cartan (in a slightly other guise) to construct the simply connected Lie group associated to each finite-dimensional...
Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of...
Intersection cohomology of cs-spaces and Zeeman's filtration.
Intersection cohomology of reductive varieties
We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of reductive groups. Thereby, we extend a well-known algorithm for toric varieties.
Intersection differential forms
Intersection Homology II.
Intersection homology operations.
Invariance proof of simplicial homology and cohomology groups without using subdivisions or axiomatic approach
Invariants in contact topology.
Inverse systems and pretopological spaces
Isomorphic cohomology Yields isomorphic homology.