Almost complex circle actions with few fixed points

Andrei Kustarev

doi:10.1070/rm2013v068n03abeh004843

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Almost complex circle actions with few fixed points

Andrei Kustarev

Year: 2013 Journal: Russian Mathematical Surveys Vol: 68 (3)Pages: 574-576 Publisher: IOP Publishing

DOI: 10.1070/rm2013v068n03abeh004843

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Abstract

We show that almost complex circle actions with exactly three fixed points do\nnot exist in dimension 8 and present an infinite series of 6-dimensional\nmanifolds possessing an almost complex circle action with exactly two fixed\npoints.\n

Keywords:

Mathematics Fixed point Action (physics) Dimension (graph theory) Pure mathematics Series (stratigraphy) Unit circle Combinatorics Mathematical analysis

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Mathematical Dynamics and Fractals

Physical Sciences → Mathematics → Mathematical Physics

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Almost complex circle actions with few fixed points

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