result in equivariant cohomology
C28593
concept
A result in equivariant cohomology is a theorem or statement describing how cohomological invariants behave under a group action, typically relating equivariant cohomology groups to ordinary cohomology or geometric data of the action.
All labels observed (4)
| Label | Occurrences |
|---|---|
| result in Hodge theory | 3 |
| generalization of the Atiyah–Singer index theorem | 1 |
| result in equivariant cohomology canonical | 1 |
| result in symplectic geometry | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: result in equivariant cohomology
Generated description
A result in equivariant cohomology is a theorem or statement describing how cohomological invariants behave under a group action, typically relating equivariant cohomology groups to ordinary cohomology or geometric data of the action.
Instances (6)
| Instance | Via concept surface |
|---|---|
| Atiyah–Bott fixed-point theorem | — |
| equivariant index theorem | generalization of the Atiyah–Singer index theorem |
| Hard Lefschetz theorem | result in Hodge theory |
| Hodge–Riemann bilinear relations | result in Hodge theory |
| Hodge decomposition | result in Hodge theory |
| Duistermaat–Heckman formula | result in symplectic geometry |