Chow-Witt Rings for classifying spaces of products of multiplicative and cyclic groups / von Andrea Lachmann. Wuppertal, 30. April 2025
Inhalt
- Introduction
- Chow-Witt Rings
- Motivation and Relation to Chow Groups
- The Gersten-Witt Complex
- Fiber Product Decomposition
- Functoriality: Flat Pullback and Proper Pushforward
- Properties
- Ring Structure
- Equivariant Chow-Witt Rings
- Euler Classes
- The Chow-Witt Ring of Bµn
- A Model for Bµn
- Computing the Chow-Witt Groups
- Multiplicative Structure
- Milnor-Witt Cohomology in Non-Diagonal Bidegrees
- Ij-Cohomology of Bmu_n
- The Ij-Cohomology of P x P
- Fasel's Projective Bundle Formula
- The I-Cohomology Ring of P x P
- Ij-Cohomology in Non-Diagonal Bidegrees
- The Chow-Witt Ring of BG_m x BG_m
- Chow-Witt Ring of BG_m x Bmu_n
- Group Structure
- Ring Structure
- Milnor-Witt K-Theory Groups in Non-Diagonal Bidegrees
- Ij-Cohomology of BG_m x Bmu_n
- Chow-Witt Ring of Bmu_m x Bmu_n
- Bibliography