On symplectic 4-manifolds with prescribed fundamental group

• Autores: Scott Baldridge, Paul Kirk
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 4, 2007, págs. 845-876
• Idioma: inglés
• DOI: 10.4171/cmh/112
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• Resumen

  • In this article we study the problem of minimizing a? + bs on the class of all symplectic 4-manifolds with prescribed fundamental group G (? is the Euler characteristic, s is the signature, and a,?b ? R), focusing on the important cases ?, ? + s and 2? + 3s. In certain situations we can derive lower bounds for these functions and describe symplectic 4-manifolds which are minimizers. We derive an upper bound for the minimum of ? and ? + s in terms of the presentation of G.