Eine Kongruenz für Gitter und ihre Anwendung auf 2k - Mannigfaltigkeiten in 4k - Mannigfaltigkeiten

manuscripta mathematica - Tập 46 - Trang 215-227 - 1984
Thomas Fiedler1
1Institut für Mathematik der Akademie der Wissenschaften der DDR, Berlin, DDR

Tóm tắt

In this article we consider nonsingular unimodular lattices. With every element, which is divisible by 2, we associate a so-called Brown invariant and prove a congruence relating the self-intersection number of the element, the signatur of the corresponding quadratic form and the Brown invariant, defined by this element. This result will be applied to study involutions on 4-dimensional manifolds.

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