The algebra of closed forms in a disk is Koszul

Details The algebra of closed forms in a disk is Koszul The algebra of closed forms in a disk is Koszul

2010-07-28

arxiv.org/abs/1007.5010v4

Mathematics

K-Theory and Homology

LaTeX 2e, 9 pages; v.2: small additions in sections 1-2, correction in section 3; v.3: explanations concerning the connection

Scientific paper

We prove that the algebra of closed differential forms in an (algebraic,
formal, or analytic) disk with logarithmic singularities along several
coordinate hyperplanes is (both nontopologically and topologically) Koszul. The
connection with variations of mixed Hodge-Tate structures, based on a preprint
by Andrey Levin, is discussed in the introduction.

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