Bulletin, Institute of Mathematics, Academia Sinica
logo-Bulletin, Institute of Mathematics, Academia Sinica

Bulletin, Institute of Mathematics, Academia Sinica
logo_m-Bulletin, Institute of Mathematics, Academia Sinica

    Jump To中央區塊/Main Content :::
  • Editorial Board
  • Archives
  • Special Issues
  • Submission
  • Subscription
  • Contact Us
search
Bulletin of the Institute of
Mathematics Academia Sinica
NEW SERIES
  • Home
  • Archives
  • Bulletin of the Institute of Mathematics Academia Sinica (New Series)
  • Facebook
  • line
  • email
  • Twitter
  • Print
2020 / June Volume 15 No.2
The Algebraic Splitting of $\mathit{bu}\wedge{BSO(2n)}$
Published Date
2020 / June
Title
The Algebraic Splitting of $\mathit{bu}\wedge{BSO(2n)}$
Author
I-Ming Tsai, Tsung-Hsuan Wu, Dong Yung Yan
Keyword
stable splitting, complex connective K-theory, Stifel-Whitney classes
Download
Download PDF
Pagination
163-175
Abstract
We show that the mod 2 cohomology of $\mathit{bu}\wedge{BSO(2n)}$ is isomorphic to a direct sum of $E$-modules, $E=\mathbb{Z}/2\langle{Q_{0},Q_{1}}\rangle$, $n\geq2$. This would give the algebraic splitting of the complex connective $K$-theory of $BSO(2n)$.
DOI
10.21915/BIMAS.2020204
https://doi.org/10.21915/BIMAS.2020204
AMS Subject
Classification
55N20
Received
2020-04-10
Accepted
2020-06-15
  • Editorial Board
  • Archives
  • Special Issues
  • Submission
  • Subscription
  • Contact Us

Institute of Mathematics, Academia Sinica 6th Floor, Astronomy‐Mathematics Building, No. 1, Section 4, Roosevelt Road, Taipei, 10617 Taiwan R.O.C.

Tel: +886‐2‐2368‐5999 ext. 382 Fax: +886‐2‐2368‐9771 Email: bulletin@math.sinica.edu.tw

© Copyright 2023. Math Sinica All Rights Reserved.Privacy Policy & Security Policy