A note on collapse, entropy, and vanishing of the Yamabe invariant of symplectic 4-manifolds
Por:
Suárez-Serrato P., Torres R.
Publicada:
1 dic 2014
Resumen:
We make use of F-structures and technology developed by Paternain-Petean to compute minimal entropy, minimal volume, and Yamabe invariant of symplectic 4-manifolds, as well as to study their collapse with sectional curvature bounded from below. À la Gompf, we show that these invariants vanish on symplectic 4-manifolds that realize any given finitely presented group as their fundamental group. We extend to the symplectic realm a result of LeBrun which relates the Kodaira dimension with the Yamabe invariant of compact complex surfaces. © 2014 Elsevier B.V.
Filiaciones:
Suárez-Serrato P.:
Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
Instituto de Matemáticas - Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, Coyoacán, Mexico City, 04510, Mexico
Torres R.:
Scuola Internazionale Superiori di Studi Avanzati, Via Bonomea 265, Trieste, 34136, Italy
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