Document Type

Article

Publication Date

1-1-2007

Abstract

In this article we study the problem of minimizing aχ + bσ on the class of all symplectic 4-manifolds with prescribed fundamental group G (χ is the Euler characteristic, σ is the signature, and a, b ∈ ℝ), focusing on the important cases χ, χ + σ and 2 + 3σ. 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 χ and χ + σ in terms of the presentation of G. © Swiss Mathematical Society. χ

Publication Source (Journal or Book title)

Commentarii Mathematici Helvetici

First Page

845

Last Page

875

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