Markus Upmeier
Abstract
We present the construction of a holomorphic bundle 2-gerbe for each complex manifold, a higher analog of the canonical line bundle. It is a geometric representative of the second Beilinson-Chern class. Also, an Atiyah class for gerbes is introduced and a Koszul-Malgrange type theorem is proven.
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We present the construction of a holomorphic bundle 2-gerbe for each complex manifold, a higher analog of the canonical line bundle. It is a geometric representative of the second Beilinson-Chern class. Also, an Atiyah class for gerbes is introduced and a Koszul-Malgrange type theorem is proven.
Key concepts: Holomorphic function, Line bundle, Canonical bundle, Mathematics, Pure mathematics, Chern class, Complex manifold, Class (philosophy)