Open AccessPeriods for holomorphic maps via Lefschetz numbers
Author(s) -
Jaume Llibre,
Mike Todd
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.575
Subject(s) - holomorphic function , mathematics , homology (biology) , lefschetz fixed point theorem , pure mathematics , fixed point , identity theorem , class (philosophy) , mathematical analysis , fixed point theorem , computer science , biochemistry , chemistry , schauder fixed point theorem , artificial intelligence , gene , picard–lindelöf theorem
We characterise the set of fixed points of a class of holomorphic maps oncomplex manifolds with a prescribed homology. Our main tool is the Lefschetznumber and the action of maps on the first homology group.Comment: 4 page
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