Topology of the complement of real hyperplanes in CN.
Topos based homology theory
In this paper we extend the Eilenberg-Steenrod axiomatic description of a homology theory from the category of topological spaces to an arbitrary category and, in particular, to a topos. Implicit in this extension is an extension of the notions of homotopy and excision. A general discussion of such homotopy and excision structures on a category is given along with several examples including the interval based homotopies and, for toposes, the excisions represented by “cutting out” subobjects. The...
Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups.
Torsion in equivariant cohomology.
Torsion in graph homology
Khovanov homology for knots has generated a flurry of activity in the topology community. This paper studies the Khovanov type cohomology for graphs with a special attention to torsion. When the underlying algebra is ℤ[x]/(x²), we determine precisely those graphs whose cohomology contains torsion. For a large class of algebras, we show that torsion often occurs. Our investigation of torsion led to other related general results. Our computation could potentially be used to predict the Khovanov-Rozansky...
Torsion in loop space homology.
Torsion in Milnor fiber homology.
Torsion in one-term distributive homology
The one-term distributive homology was introduced in [Prz] as an atomic replacement of rack and quandle homology, which was first introduced and developed by Fenn-Rourke-Sanderson [FRS] and Carter-Kamada-Saito [CKS]. This homology was initially suspected to be torsion-free [Prz], but we show in this paper that the one-term homology of a finite spindle may have torsion. We carefully analyze spindles of block decomposition of type (n,1) and introduce various techniques to compute their homology precisely....
Torus actions, equivariant moment-angle complexes, and coordinate-subspace arrangements.
Total cofibres of diagrams of spectra.
Total spaces of circle bundles over lens spaces
Toward a global understanding of .
Towards one conjecture on collapsing of the Serre spectral sequence
[For the entire collection see Zbl 0699.00032.] A fibration is called totally noncohomologuous to zero (TNCZ) with respect to the coefficient field k, if is surjective. This is equivalent to saying that acts trivially on and the Serre spectral sequence collapses at . S. Halperin conjectured that for and F a 1-connected rationally elliptic space (i.e., both and are finite dimensional) such that vanishes in odd degrees, every fibration is TNCZ. The author proves this being the case...
Towards the algebra structure of the Morava k-theory of the orthogonal groups.
TQFT's and gerbes.
Tractable formulas for v1-periodic homotopy groups of SU (n) when n...p2 - p + 1.
Transfer and complex oriented cohomology rings.
Transfer maps for fibrations and duality
Transfers for ramified covering maps in homology and cohomology.