Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nondissipative Drag Conductance as a Topological Quantum Number   We show in this paper that the boundary condition averaged nondissipative
drag conductance of two coupled mesoscopic rings with no tunneling, evaluated
in a particular many-particle eigenstate, is a topological invariant
characterized by a Chern integer. Physical implications of this observation are
discussed.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex