Equivariant Algebraic Cobordism and Double Point Relations

Details Equivariant Algebraic Cobordism and Double Point Relations Equivariant Algebraic Cobordism and Double Point Relations

2011-10-24

arxiv.org/abs/1110.5282v1

Mathematics

Algebraic Geometry

97 pages

Scientific paper

For a reductive connected group or a finite group over a field of characteristic zero, we define an equivariant algebraic cobordism theory by a generalized version of the double point relation of Levine-Pandharipande. We prove basic properties and the well-definedness of a canonical fixed point map. We also find explicit generators of the algebraic cobordism ring of the point when the group is finite abelian.

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