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Infinite dimensional cycles associated to operators

Published online by Cambridge University Press:  22 January 2016

Hiroshi Morimoto
Hiroshi Morimoto*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Nagoya 464-01, Japan
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A family of operators defined on infinite dimensional spaces gives rise to interesting cycles (or subvarieties) of infinite dimension which represent a topological or non-topological feature of operator families. In this paper we will give a general theory of these cycles, and give some estimates among them. We will apply this theory, in the final section, to cycles derived from Dirac operators.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 127 , September 1992 , pp. 1 - 14
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

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