# From Symplectic Packing to Algebraic Geometry and Back

@inproceedings{Biran2001FromSP, title={From Symplectic Packing to Algebraic Geometry and Back}, author={Paul Biran}, year={2001} }

In this paper we survey various aspects of the symplectic packing problem and its relations to algebraic geometry, going through results of Gromov, McDuff, Polterovich and the author.

## 49 Citations

An explicit construction of a maximal relative symplectic packing of the Clifford torus

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In this paper we present an explicit construction of a relative symplectic packing. This confirms the sharpness of the upper bound for the relative packing of a ball into the pair (CP^2, T^2) of the…

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We summarize some recent progress and problems on the symplectomorphism groups, with an emphasis on the connection to the space of ball-packings.

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We suggest several mathematical counterparts to the idea of "effective degrees of freedom" and formulate specific questions, much of which are inspired by Larry Guth's results and ideas on the…

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We discuss various algebraic quantum structures associated to monotone Lagrangian submanifolds and we present a number of applications, computations and examples.

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- 2017

We describe old and new motivations to study symplectic embedding problems, and we discuss a few of the many old and the many new results on symplectic embeddings.

Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B+ = 1

- Mathematics
- 2000

Let M be a closed oriented smooth 4-manifold admitting symplectic structures. If M is minimal and has b^+=1, we prove that there is a unique symplectic canonical class up to sign, and any real second…

Upper bound for the Gromov width of flag manifolds

- Mathematics
- 2015

The Darboux theorem in symplectic geometry states that around any point of a symplectic manifold there is a system of local coordinates such that the symplectic manifold looks locally like R2n with…

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