The Bott obstruction to the existence of nice polarizations

Izu Vaisman

doi:10.1007/BF01442487

The Bott obstruction to the existence of nice polarizations

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note, we prove and discuss the following theorem: if the symplectic or almost symplectic manifold M admits a nice polarization F with dim {Mathematical expression}, we must have Chern^qM=0 and Pont^qM=0, for q>2n-k, and, in particular, the Euler class of M vanishes.

Original language	English
Pages (from-to)	231-238
Number of pages	8
Journal	Monatshefte fur Mathematik
Volume	92
Issue number	3
DOIs	https://doi.org/10.1007/BF01442487
State	Published - Sep 1981

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01442487

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title = "The Bott obstruction to the existence of nice polarizations",

abstract = "In this note, we prove and discuss the following theorem: if the symplectic or almost symplectic manifold M admits a nice polarization F with dim \{Mathematical expression\}, we must have ChernqM=0 and PontqM=0, for q>2n-k, and, in particular, the Euler class of M vanishes.",

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AB - In this note, we prove and discuss the following theorem: if the symplectic or almost symplectic manifold M admits a nice polarization F with dim {Mathematical expression}, we must have ChernqM=0 and PontqM=0, for q>2n-k, and, in particular, the Euler class of M vanishes.

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M3 - Article

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JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

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ER -

The Bott obstruction to the existence of nice polarizations

Abstract

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