Primary operations in differential cohomology
| Autor: | Hisham Sati, Daniel Grady |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Mathematics - Differential Geometry
General Mathematics Group cohomology FOS: Physical sciences Mathematics::Algebraic Topology 01 natural sciences Grothendieck topology Mathematics::K-Theory and Homology Cup product 0103 physical sciences FOS: Mathematics De Rham cohomology Algebraic Topology (math.AT) Equivariant cohomology Mathematics - Algebraic Topology 0101 mathematics Mathematical Physics Čech cohomology Mathematics 010308 nuclear & particles physics 010102 general mathematics Mathematical Physics (math-ph) Cohomology Motivic cohomology Algebra Differential Geometry (math.DG) |
| Zdroj: | Advances in Mathematics. 335:519-562 |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2018.07.019 |
| Popis: | We characterize primary operations in differential cohomology via stacks, and illustrate by differentially refining Steenrod squares and Steenrod powers explicitly. This requires a delicate interplay between integral, rational, and mod p cohomology, as well as cohomology with U(1) coefficients and differential forms. Along the way we develop computational techniques in differential cohomology, including a K\"unneth decomposition, that should also be useful in their own right, and point to applications to higher geometry and mathematical physics. Comment: 36 pages, minor corrections |
| Databáze: | OpenAIRE |
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