Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The Deligne complex for the four-strand braid group
HTML articles powered by AMS MathViewer

by Ruth Charney PDF
Trans. Amer. Math. Soc. 356 (2004), 3881-3897 Request permission

Abstract:

This paper concerns the homotopy type of hyperplane arrangements associated to infinite Coxeter groups acting as reflection groups on $\mathbb C^n$. A long-standing conjecture states that the complement of such an arrangement should be aspherical. Some partial results on this conjecture were previously obtained by the author and M. Davis. In this paper, we extend those results to another class of Coxeter groups. The key technical result is that the spherical Deligne complex for the 4-strand braid group is CAT(1).
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20F36, 20F55, 52C35
  • Retrieve articles in all journals with MSC (2000): 20F36, 20F55, 52C35
Additional Information
  • Ruth Charney
  • Affiliation: Department of Mathematics, The Ohio State University, 231 W. 18th Ave, Columbus, Ohio 43210
  • Address at time of publication: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254
  • MR Author ID: 47560
  • Email: charney@math.ohio-state.edu, charney@brandeis.edu
  • Received by editor(s): August 6, 2002
  • Received by editor(s) in revised form: May 1, 2003
  • Published electronically: December 15, 2003
  • Additional Notes: This work was partially supported by NSF grant DMS-0104026
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 3881-3897
  • MSC (2000): Primary 20F36, 20F55, 52C35
  • DOI: https://doi.org/10.1090/S0002-9947-03-03425-1
  • MathSciNet review: 2058510