Gromov K-area and jumping curves in CPn

Savelyev, Yasha

doi:10.2140/agt.2012.12.2317

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Gromov $K\mkern-4mu$–area and jumping curves in $\mathbb{CP}^n$

Yasha Savelyev

Algebraic & Geometric Topology 12 (2012) 2317–2327

DOI: 10.2140/agt.2012.12.2317

Abstract

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

Keywords

Gromov $K$–area, Gromov–Witten theory, jumping curves

Mathematical Subject Classification 2010

Primary: 53D45

References

Publication

Received: 11 June 2012

Revised: 6 September 2012

Accepted: 23 September 2012

Published: 8 January 2013

Authors

Yasha Savelyev
Centre de Recherches Mathématiques Université de Montréal P.O. Box 6128 Centre-ville Station Montréal H3C 3J7 Canada
https://sites.google.com/site/yashasavelyev/

Volume 12, issue 4 (2012)