TY - JOUR
T1 - Towards the C0 flux conjecture
AU - Buhovsky, Lev
N1 - Publisher Copyright:
© Agriculture.gr. All rights reserved.
PY - 2015/1/15
Y1 - 2015/1/15
N2 - In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C0 flux conjecture, thus confirming the conjecture in new cases of symplectic manifolds. We also prove the continuity of the flux homomorphism on the space of smooth symplectic isotopies endowed with the C0 topology, which implies the C0 rigidity of Hamiltonian paths, conjectured by Seyfaddini.
AB - In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C0 flux conjecture, thus confirming the conjecture in new cases of symplectic manifolds. We also prove the continuity of the flux homomorphism on the space of smooth symplectic isotopies endowed with the C0 topology, which implies the C0 rigidity of Hamiltonian paths, conjectured by Seyfaddini.
KW - C flux conjecture
KW - Flux homomorphism
KW - Hamiltonian diffeomorphism
KW - Symplectic manifold
KW - Symplectomorphism
UR - http://www.scopus.com/inward/record.url?scp=84921831114&partnerID=8YFLogxK
U2 - 10.2140/agt.2014.14.3493
DO - 10.2140/agt.2014.14.3493
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AN - SCOPUS:84921831114
SN - 1472-2747
VL - 14
SP - 3493
EP - 3508
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 6
ER -