Strongly homotopy algebras of a Kähler manifold

Details Strongly homotopy algebras of a Kähler manifold Strongly homotopy algebras of a Kähler manifold

1998-09-29

arxiv.org/abs/math/9809172v3

Internat. Math. Res. Notices (1999), no.3, 153--164

Mathematics

Algebraic Geometry

Correction

Scientific paper

It is shown that any compact K\"ahler manifold $M$ gives canonically rise to two strongly homotopy algebras, the first one being associated with the Hodge theory of the de Rham complex and the second one with the Hodge theory of the Dolbeault complex. In these algebras the product of two harmonic differential forms is again harmonic. If $M$ happens to be a Calabi-Yau manifold, there exists a third strongly homotopy algebra closely related to the Barannikov-Kontsevich extended moduli space of complex structures.

Affiliated with

Also associated with

No associations

Rating

Strongly homotopy algebras of a Kähler manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strongly homotopy algebras of a Kähler manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strongly homotopy algebras of a Kähler manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51731