The Minimal Genus Problem

Abstract

This paper gives a survey of the progress on the minimal genus problem since Lawson's survey.

arXiv commentActa Math Sci (42) 2257-2278 (2022) \\ Version 2: Remark 2.4 and a few references added

References in corpus (10)

• Non-orientable surfaces in homology cobordisms
• Minimal genera of open 4-manifolds
• Bridge trisections in ${\mathbb{CP}}^2$ and the Thom conjecture (with Corrigendum)
• Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants
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• Minimal genus in circle bundles over 3-manifolds
• Minimal genus for 4-manifolds with $b^{+}=1$
• Homology classes of negative square and embedded surfaces in 4-manifolds
• The minimal genus problem for elliptic surfaces
• Minimal genus problem for $T^2$-bundles over surfaces