Enumerative algebraic geometry via techniques of symplectic topology and analysis of local obstructions by Zinger, Aleksey, 1975-

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On The Group of Strong Symplectic Homeomorphisms by AUGUSTIN BANYAGA

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Erratum to “on the group of strong symplectic homeomorphisms” by Augustin Banyaga

Subjects: “…C0-symplectic topology…”
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The Symplectic Camel and Poincaré Superrecurrence: Open Problems by Maurice A. de Gosson

“…We discuss this and related recurrence properties from the point of view of recent advances in symplectic topology which have not yet reached the Physics community. …”
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A brief survey of the spectral numbers in floer homology by Katić Jelena, Milinković Darko, Nikolić Jovana

“…We give a brief introduction and a partial survey of some of the results about spectral numbers in symplectic topology that we are aware of. Without attempting to be comprehensive, we will select just some of the constructions and ideas that, according to our personal taste and our point of view, give a flavor of this fast developing theory.…”
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Quantitative Heegaard Floer cohomology and the Calabi invariant by Daniel Cristofaro-Gardiner, Vincent Humilière, Cheuk Yu Mak, Sobhan Seyfaddini, Ivan Smith

“…As applications, we resolve several open questions from topological surface dynamics and continuous symplectic topology: We show that the group of Hamiltonian homeomorphisms of any compact surface with (possibly empty) boundary is not simple; we extend the Calabi homomorphism to the group of hameomorphisms constructed by Oh and Müller, and we construct an infinite-dimensional family of quasi-morphisms on the group of area and orientation preserving homeomorphisms of the two-sphere.…”
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Toric Actions on b-Symplectic Manifolds by Guillemin, Victor W, Miranda, Eva, Pires, Ana Rita, Scott, Geoffrey

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Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m by Imagi, Y, Joyce, D, Santos, J

“…Our methods, which are new and can probably be used to prove other similar uniqueness theorems, involve $J$-holomorphic curves, Lagrangian Floer cohomology, and Fukaya categories from symplectic topology. When $m=2$, (a) is easy to prove using hyperkahler geometry, and (b) is proved by Lotay and Neves, arXiv:1208.2729.…”

Classical aspect of uncertainty principle for spin angular momentum in geometric quantum mechanics by Abdul Halim, Umair

“…This research might be a good step toward inserting the aspect of symplectic topology such as non-squeezing theorem and clearly showed the limit of classical notion to describe the purely quantum concept.…”
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