A combinatorial construction of symplectic expansions

Abstract

The notion of a symplectic expansion directly relates the topology of a surface to formal symplectic geometry. We give a method to construct a symplectic expansion by solving a recurrence formula given in terms of the Baker-Campbell-Hausdorff series.

8 pages, 1 figure; corrections and modifications have been done in v2

References in corpus (3)

• Cohomological Aspects of Magnus Expansions
• Harmonic Magnus Expansion on the Universal Family of Riemann Surfaces
• The logarithms of Dehn twists

Cited by in corpus (1)

• The generalized Dehn twist along a figure eight