J-Holomorphic Curves and Symplectic Topology
By D. Mcduff, Dietmar Salamon. 2004
1,444 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/6956cec41c4dda8e034d23312769c57bdf64e9e7
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Citations in the corpus
- Quantum Structures for Lagrangian Submanifolds (2007, background): “Standard arguments [44] show that the above subset Jreg ⊂ J (M,ω) is indeed of second category.”
- Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms (2010, background): “3) and those for spheres are made submersive in [44] by varying J ; hence by varying the tuple .”
- An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves (2013, methodology): “The methods used here are based on our partial understanding of the treatments of gluing in Abouzaid [1] and McDuff and Salamon [62], as well as conversations with Abouzaid, Ekholm, Hofer and Mazzeo (we also thank the anonymous referee for their comments).”
- Quasi-morphisms and the Poisson bracket (2006, background): “ construction of µ. Let QHbe the even quantum homology algebra of M. Recall that G denotes the universal cover of the group Ham(M,ω). Let c: QH× G → R be the spectral invariant introduced by Y.-G. Oh [13, 11]. Then µ(f) = − lim m→∞ c(e,fm) m (25) for certain element e∈ QH. (Recall that we normalize ”
- Symplectic embedding problems, old and new (2017, background): “The “bible” on J-holomorphic curves is [83], and a nice short text is [31].”
- Gromov convergence of pseudoholomorphic disks (2008, methodology): “We will introduce some notation from [MS2].”
- Framed bordism and Lagrangian embeddings of exotic spheres (2008, methodology): “2 of [14]) by passing to the produce D(2) × M , and using Gromov’s observation that one can construct an almost complex structure on D(2) × M”