Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on invariants of hamiltonian loops   In this note the interrelations between several natural morphisms on the
$\pi_1$ of groups of Hamiltonian diffeomorphisms are investigated. As an
application, the equality of the (non-linear) Maslov index of loops of
quantomorphisms of prequantizations of $\C P^n$ and the Calabi-Weinstein
invariant is shown, settling affirmatively a conjecture by A. Givental. We also
prove the proportionality of the mixed action-Maslov morphism and the Futaki
invariant on loops of Hamiltonian biholomorphisms of Fano Kahler manifolds, as
suggested by C. Woodward. Finally, a family of generalized action-Maslov
invariants is computed for toric manifolds via barycenters of their moment
polytopes, with an application to mass-linear functions recently introduced by
D. McDuff and S. Tolman.

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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin