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Highly Cited

2004

Highly Cited

2004

The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its… Expand

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Highly Cited

2002

Highly Cited

2002

Preface * 1. Symplectic Manifolds * 2. Principal S1-bundles * 3. Contact Manifolds * 4. Associated Metrics * 5. Integral… Expand

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Highly Cited

2000

Highly Cited

2000

We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten… Expand

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Highly Cited

1999

Highly Cited

1999

Mixed-variable symplectic integrators exhibit no long-term accumulation of energy error, beyond that owing to round-off, and they… Expand

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Highly Cited

1992

Highly Cited

1992

These are lecture notes for two courses, taught at the University of Toronto in Spring 1998 and in Fall 2000. Our main sources… Expand

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Highly Cited

1990

Highly Cited

1990

Abstract For Hamiltonian systems of the form H = T ( p )+ V ( q ) a method is shown to construct explicit and time reversible… Expand

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Highly Cited

1990

Highly Cited

1990

Abstract In this paper we present an explicit fourth-order method for the integration of Hamilton's equations. This method… Expand

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Highly Cited

1985

Highly Cited

1985

Definitions. A parametrized (pseudo holomorphic) J-curve in an almost complex manifold (IS, J) is a holomorphic map of a Riemann… Expand

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Highly Cited

1984

Highly Cited

1984

Preface 1. Introduction 2. The geometry of the moment map 3. Motion in a Yang-Mills field and the principle of general covariance… Expand

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Highly Cited

1984

Highly Cited

1984

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric… Expand

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