Fixed point theory and framed cobordism | Zendy

Carlos Prieto | Zendy

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Fixed point theory and framed cobordism

Author(s) -

Carlos Prieto

Publication year - 2003

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2003.010

Subject(s) - cobordism , mathematics , equivariant map , fixed point , fixed point theorem , pure mathematics , cohomology , equivariant cohomology , point (geometry) , discrete mathematics , mathematical analysis , geometry

The Thom-Pontryagin construction isstudied from the point of view of fixed point situations, and a very natural correspondence between framed cobordism classes and fixed point situations is given. Sincefixed point classes integrate a cohomology theory, called $\text{\rm FIX}$, which generalizes in a natural wayto an equivariant theory, this sheds light intopossible approaches to equivariant cobordism.

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