Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant asymptotics of Szeg\"o kernels under Hamiltonian
  $SU(2)\times S^1$-actions   Let $M$ be complex projective manifold and $A$ a positive line bundle on it.
Assume that a compact and connected Lie group $G$ acts on $M$ in a Hamiltonian
and holomorphic manner and that this action linearizes to $A$. Then, there is
an associated unitary representation of $G$ on the associated algebro-geometric
Hardy space $H(X)$. The standard circle action on $H(X)$ commutes with the
action of $G$ and thus one has a decompositions labeled by
$(k\,\boldsymbol{\nu},\,k)$, where $k\in\mathbb{Z}$ and $\boldsymbol{ \nu }\in
\hat{G}$. We consider the local and global asymptotic properties of the
corresponding equivariant projector as $k$ goes to infinity. More generally,
for a compact connected Lie group, we compute the asymptotics of the dimensions
of the corresponding isotypes.

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The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: physics