A co-operational bivariant theory derived from cohomology operations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912473690406912 |
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| author | Yokura, Shoji |
| author_facet | Yokura, Shoji |
| contents | A co-operational bivariant theory is a ``dual" version of Fulton--MacPherson's operational bivaiant theory.
For a given contravariant functor we define a generalized cohomology operation for continuous maps having sections, using cohomology operations. This generalized cohomology operation is related to Quillen's Steenrod power operation. Using this generalized cohomology operation, we define \emph{a co-operational bivariant theory derived from cohomology operations},
which is a subtheory of the co-operational bivariant theory associated to the contravariant functor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07378 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A co-operational bivariant theory derived from cohomology operations Yokura, Shoji Algebraic Topology Algebraic Geometry A co-operational bivariant theory is a ``dual" version of Fulton--MacPherson's operational bivaiant theory. For a given contravariant functor we define a generalized cohomology operation for continuous maps having sections, using cohomology operations. This generalized cohomology operation is related to Quillen's Steenrod power operation. Using this generalized cohomology operation, we define \emph{a co-operational bivariant theory derived from cohomology operations}, which is a subtheory of the co-operational bivariant theory associated to the contravariant functor. |
| title | A co-operational bivariant theory derived from cohomology operations |
| topic | Algebraic Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2507.07378 |