Geodesic
Gromov K-area and jumping curves in CPn
Savelyev, Yasha1
1Centre de Recherches Mathématiques, Université de Montréal, P.O. Box 6128, Centre-ville Station, Montréal H3C 3J7, Canada
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2317-2327
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We give here some extensions of Gromov’s and Polterovich’s theorems on k–area of ℂℙn, particularly in the symplectic and Hamiltonian context. Our main methods involve Gromov–Witten theory, and some connections with Bott periodicity and the theory of loop groups. The argument is closely connected with the study of jumping curves in ℂℙn, and as an upshot we prove a new symplectic-geometric theorem on these jumping curves.

DOI : 10.2140/agt.2012.12.2317
Classification : 53D45
Keywords: Gromov $K$–area, Gromov–Witten theory, jumping curves

Savelyev, Yasha  1

1 Centre de Recherches Mathématiques, Université de Montréal, P.O. Box 6128, Centre-ville Station, Montréal H3C 3J7, Canada 
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Savelyev, Yasha. Gromov K-area and jumping curves in CPn. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2317-2327. doi: 10.2140/agt.2012.12.2317

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