Geometry of Quantum Projective Spaces
Francesco D'Andrea, Giovanni Landi
TL;DR
This paper reviews recent advances in understanding the geometric structure of complex quantum projective spaces within the framework of noncommutative geometry, highlighting their mathematical properties and significance.
Contribution
It provides a comprehensive overview of the current state of research on the geometry of complex quantum projective spaces, an area less explored than real quantum manifolds.
Findings
Summarizes recent results on complex quantum projective spaces.
Highlights the role of noncommutative geometry in understanding these spaces.
Identifies open questions and future directions in the field.
Abstract
In recent years, several quantizations of real manifolds have been studied, in particular from the point of view of Connes' noncommutative geometry. Less is known for complex noncommutative spaces. In this paper, we review some recent results about the geometry of complex quantum projective spaces.
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