Volume 22, issue 3 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
On the rank of $\pi_1(\mathrm{Ham})$

Andrés Pedroza

Algebraic & Geometric Topology 22 (2022) 1325–1336
Bibliography
1 M Abreu, D McDuff, Topology of symplectomorphism groups of rational ruled surfaces, J. Amer. Math. Soc. 13 (2000) 971 MR1775741
2 S Anjos, S Eden, The homotopy Lie algebra of symplectomorphism groups of 3–fold blowups of (S2 × S2std σstd), Michigan Math. J. 68 (2019) 71 MR3934605
3 S Anjos, M Pinsonnault, The homotopy Lie algebra of symplectomorphism groups of 3–fold blow-ups of the projective plane, Math. Z. 275 (2013) 245 MR3101807
4 D Auroux, I Smith, Fukaya categories of surfaces, spherical objects and mapping class groups, Forum Math. Sigma 9 (2021) MR4235165
5 J D Evans, Symplectic mapping class groups of some Stein and rational surfaces, J. Symplectic Geom. 9 (2011) 45 MR2787361
6 M Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
7 A Kislev, Compactly supported Hamiltonian loops with a non-zero Calabi invariant, Electron. Res. Announc. Math. Sci. 21 (2014) 80 MR3260131
8 F Lalonde, M Pinsonnault, The topology of the space of symplectic balls in rational 4–manifolds, Duke Math. J. 122 (2004) 347 MR2053755
9 J Li, T J Li, Symplectic (2)–spheres and the symplectomorphism group of small rational 4–manifolds, Pacific J. Math. 304 (2020) 561 MR4062781
10 J Li, T J Li, W Wu, Symplectic (2)–spheres and the symplectomorphism group of small rational 4–manifolds, II, preprint (2019) arXiv:1911.11073
11 D McDuff, The symplectomorphism group of a blow up, Geom. Dedicata 132 (2008) 1 MR2396906
12 A Pedroza, Seidel’s representation on the Hamiltonian group of a Cartesian product, Int. Math. Res. Not. 2008 (2008) MR2440331
13 A Pedroza, Hamiltonian loops on the symplectic one-point blow up, J. Symplectic Geom. 16 (2018) 839 MR3882174
14 L Polterovich, The geometry of the group of symplectic diffeomorphisms, Birkhäuser (2001) MR1826128
15 P Seidel, π1 of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754
16 S Smale, Diffeomorphisms of the 2–sphere, Proc. Amer. Math. Soc. 10 (1959) 621 MR112149
17 A Weinstein, Cohomology of symplectomorphism groups and critical values of Hamiltonians, Math. Z. 201 (1989) 75 MR990190