Publications

Publications:

Y. Karshon and L. Kessler, Circle and torus actions on equal symplectic blow-ups of CP^2 , Mathematical Research Letters 14 (2007), no. 5, 807-823.

Y. Karshon, L. Kessler and M. Pinsonnault, A compact symplectic four- manifold admits only finitely many inequivalent toric actions, Journal of Symplectic Geometry 5 (2007), no. 2, 139-166.

L. Kessler, Torus actions on small blow ups of CP^2, Pacific Journal of Mathematics 244 (2010), no. 1, 133-154.

L. Kessler, Holomorphic shadows in the eyes of model theory, Transactions of the AMS 363 (2011), no. 6, 3287-3307.
 
J. Coffey, L. Kessler, A. Pelayo, Symplectic geometry on moduli spaces of J- holomorphic curves, Annals of Global Analysis and Geometry 41 (2012), no. 3, 265-280.

Y. Karshon, L. Kessler, and M. Pinsonnault, Counting toric actions on symplectic four-manifolds, Comptes Rendus Mathematiques (Mathematical Reports), Rep. Acad. Sci. Canada 37 (2015), no. 1, 33-40.

Y. Karshon and L. Kessler, Distinguishing symplectic blowups of the complex projective plane, Journal of Symplectic Geometry, 15 (2017), no. 4, 1089--1128. 

R. Chiang and L. Kessler, Cyclic actions on rational ruled symplectic four-manifolds, Transformation Groups, 24 (2019), no. 4, 987-1000.

    T. S. Holm and L. Kessler, with an Appendix by Tair Pnini, Circle actions on symplectic four-manifolds, Communications in Analysis and Geometry, 27 (2019), no. 2, 421-464.

    T. S. Holm and L. Kessler, The equivariant cohomology of complexity one spaces, L’Enseignement Mathematique (2) 65 (2019), 457-485. 

     R. Chiang and L. Kessler, Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions, Journal of Topology and Analysis, 12 (2020), no. 4, 1047-1071.

L. Kessler, A symplectic form on the space of embedded symplectic surfaces and its reduction by reparametrizations, Pacific Journal of Mathematics, 316 (2022), no. 2, 409-430.

   Preprints:

T. S. Holm and L. Kessler, Equivariant cohomology of a complexity-one four-manifold is determined by combinatorial data (77 pages), arXiv:1912.05647