Enumerative geometry of K3 surfaces

Abstract

The aim of these notes is to explain various enumerative results about K3 surfaces without assuming familiarity with Gromov--Witten theory. The enumerative results in question are due to Beauville, Bryan and Leung, Pandharipande, Maulik, Thomas, and others, and confirm conjectures made by Yau--Zaslow, G\"ottsche, and Katz--Klemm--Vafa.

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