Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of singular algebraic varieties   I will discuss recent progress by many people in the program of extending
natural topological invariants from manifolds to singular spaces. Intersection
homology theory and mixed Hodge theory are model examples of such invariants.
The past 20 years have seen a series of new invariants, partly inspired by
string theory, such as motivic integration and the elliptic genus of a singular
variety. These theories are not defined in a topological way, but there are
intriguing hints of their topological significance.

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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat