Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loops of Lagrangian submanifolds and pseudoholomorphic discs   The main theorem of this paper asserts that the inclusion of the space of
projective Lagrangian planes into the space of Lagrangian submanifolds of
complex projective space induces an injective homomorphism of fundamental
groups. We introduce three invariants of exact loops of Lagrangian submanifolds
that are modelled on invariants introduced by Polterovich for loops of
Hamiltonian symplectomorphisms. One of these is the minimal Hofer length in a
given Hamiltonian isotopy class. We determine the exact values of these
invariants for loops of projective Lagrangian planes. The proof uses the Gromov
invariants of an associated symplectic fibration over the 2-disc with a
Lagrangian subbundle over the boundary.

26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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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: eess
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The categories of this paper are: econ
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio