TY - JOUR
AU - Dupont, Emiko
AB - The complex manifold ℂℙn × ℂℙn+1 with symplectic form σμ=σCPn+μσCPn+1, where σCPn and μσCPn+1 are normalized Fubini–Study forms, n ∈ ℕ and μ > 1 a real number, contains a natural Lagrangian sphere Lμ. We prove that the Dehn twist along Lμ is symplectically isotopic to the identity for all μ > 1. This isotopy can be chosen so that it pointwise fixes a complex hypersurface in ℂℙn × ℂℙn+1 and lifts to the blow‐up of ℂℙn × ℂℙn+1 along a complex n‐dimensional submanifold.
TI - A symplectic isotopy of a Dehn twist on ℂℙn × ℂℙn+1
JO - Journal of the London Mathematical Society
DO - 10.1112/jlms/jdp020
DA - 2009-08-01
UR - https://www.deepdyve.com/lp/wiley/a-symplectic-isotopy-of-a-dehn-twist-on-n-n-1-4xxO6WsG1M
SP - 171
EP - 190
VL - 80
IS - 1
DP - DeepDyve
ER -