Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum weighted projective and lens spaces   We generalize to quantum weighted projective spaces in any dimension previous
results of us on K-theory and K-homology of quantum projective spaces `tout
court'. For a class of such spaces, we explicitly construct families of
Fredholm modules, both bounded and unbounded (that is spectral triples), and
prove that they are linearly independent in the K-homology of the corresponding
C*-algebra. We also show that the quantum weighted projective spaces are base
spaces of quantum principal circle bundles whose total spaces are quantum lens
spaces. We construct finitely generated projective modules associated with the
principal bundles and pair them with the Fredholm modules, thus proving their
non-triviality.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex