Homotopy classification of twisted complex projective spaces of dimension 4

Biquaternions Lie Algebra and Complex-Projective Spaces

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Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces

We investigate the rational homotopy classification problem for the components of some function spaces with Sn or cPn as target space.

Complex Interpolation and Twisted Twisted Hilbert Spaces

Moduli Spaces of Twisted Sheaves on a Projective Variety

Let X be a smooth projective variety over C. Let α := {αijk ∈ H(Ui ∩ Uj ∩ Uk,O X)} be a 2-cocycle representing a torsion class [α] ∈ H2(X,O X). An α-twisted sheaf E := {(Ei, φij)} is a collection of sheaves Ei on Ui and isomorphisms φij : Ei|Ui∩Uj → Ej|Ui∩Uj such that φii = idEi , φji = φ ij and φki ◦ φjk ◦ φij = αijk idEi . We assume that there is a locally free α-twisted sheaf, that is, α giv...

Quantum Dimension and Quantum Projective Spaces

We show that the family of spectral triples for quantum projective spaces introduced by D’Andrea and Da̧browski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element K2ρ or its inverse. The spectral dimension computed in this sense coincides with the dimension of the classical projective spaces. The connecti...