Infinitesimal Neighborhoods of Infinite-Dimensional Complex Projective Spaces

Infinite-dimensional Complex Projective Spaces and Complete Intersections

Let V be an infinite-dimensional complex Banach space and X ⊂ P(V ) a closed analytic subset with finite codimension. We give a condition on X which implies that X is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.

Biquaternions Lie Algebra and Complex-Projective Spaces

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Secondary Steenrod Operations in Cohomology of Infinite-Dimensional Projective Spaces

The important role of the Steenrod operations Sq in the description of the cohomology of topological spaces, the calculation of various spectral sequences, and the study of homotopy properties of topological spaces and their continuous maps is well known [1, 2]. Projective spaces, in particular RP∞ and CP∞ , play a special role in the construction of Steenrod operations and their computation. I...

Infinitesimal deformation quantization of complex analytic spaces

For the physical aspects of deformation quantization we refer to the expository and survey papers [4] and [10]. Our objective is to initiate a version of global theory of quantization deformation in the category of complex analytic spaces in the same lines as the theory of (commutative) deformation. The goal of inifinitesimal theory is to do few steps towards construction of a star-product in t...

Infinite dimensional Teichmüller spaces