Higher Complex Structures
Published in International Mathematics Research Notices • Oct 1, 2019
Authors:,
V. V. Fock
Alexander Thomas
Abstract
Abstract We introduce and analyze a new geometric structure on topological surfaces generalizing the complex structure. To define this so-called higher complex structure, we use the punctual Hilbert scheme of the plane. The moduli space of higher complex structures is defined and is shown to be a ge...
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