On symplectic 4-manifolds with prescribed fundamental group
Scott Baldridge
Louisiana State University, Baton Rouge, United StatesPaul Kirk
Indiana University, Bloomington, United States
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Abstract
In this article we study the problem of minimizing on the class of all symplectic 4-manifolds with prescribed fundamental group ( is the Euler characteristic, is the signature, and ), focusing on the important cases , and . 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 in terms of the presentation of .
Cite this article
Scott Baldridge, Paul Kirk, On symplectic 4-manifolds with prescribed fundamental group. Comment. Math. Helv. 82 (2007), no. 4, pp. 845–875
DOI 10.4171/CMH/112