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2012 Gromov $K\mkern-4mu$–area and jumping curves in $\mathbb{CP}^n$
Yasha Savelyev
Algebr. Geom. Topol. 12(4): 2317-2327 (2012). DOI: 10.2140/agt.2012.12.2317

Abstract

We give here some extensions of Gromov’s and Polterovich’s theorems on k–area of n, 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 n, and as an upshot we prove a new symplectic-geometric theorem on these jumping curves.

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Yasha Savelyev. "Gromov $K\mkern-4mu$–area and jumping curves in $\mathbb{CP}^n$." Algebr. Geom. Topol. 12 (4) 2317 - 2327, 2012. https://doi.org/10.2140/agt.2012.12.2317

Information

Received: 11 June 2012; Revised: 6 September 2012; Accepted: 23 September 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1262.53082
MathSciNet: MR3020209
Digital Object Identifier: 10.2140/agt.2012.12.2317

Subjects:
Primary: 53D45

Rights: Copyright © 2012 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2012
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