Robert E. Gompf (source code)

= Robert E. Gompf
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<Robert E. Gompf> studies four-dimensional <topology>, <symplectic topology> and <contact topology>. His University of Texas research profile also identifies <Stein surfaces> as a focus.https://math.utexas.edu/directory/robert-e-gompf[Institutional research interests]{ref}

His <symplectic sum> construction glues <symplectic manifolds> along suitable codimension-two submanifolds. Among its consequences, every finitely presented <group> occurs as the <fundamental group> of a compact symplectic manifold in each even dimension at least four. This shows how flexible <symplectic geometry> can be compared with the additional restrictions imposed by a <Kähler manifold>.<A new construction of symplectic manifolds by Robert E. Gompf>[Abstract and construction; Annals of Mathematics 142, 527–595]{ref}