Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant Holomorphic Morse Inequalities I: A Heat Kernel Proof   Assume that the circle group acts holomorphically on a compact K\"ahler
manifold with isolated fixed points and that the action can be lifted
holomorphically to a holomorphic Hermitian vector bundle. We give a heat kernel
proof of the equivariant holomorphic Morse inequalities. We use some techniques
developed by Bismut and Lebeau. These inequalities, first obtained by Witten
using a different argument, produce bounds on the multiplicities of weights
occurring in the twisted Dolbeault cohomologies in terms of the data of the
fixed points.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio