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An Explicit Description of Coxeter Homology Complexes
Joint Authors
Callegaro, Filippo
Gaiffi, Giovanni
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Rains (2010) computes the integral homology of real De Concini-Procesi models of subspace arrangements, using some homology complexes whose main ingredients are nested sets and building sets of subspaces.
We think that it is useful to provide various different descriptions of these complexes, since they encode relevant information about the homotopy type of the models and there still are interesting open questions about ℤ-bases of the homology modulo its torsion (see the work by Rains (2010)).
In this paper we focus on the case of the Coxeter arrangements: we give an explicit and elementary description, in terms of the combinatorics of the Coxeter groups, of the cells and of the boundary maps of these complexes.
American Psychological Association (APA)
Callegaro, Filippo& Gaiffi, Giovanni. 2011. An Explicit Description of Coxeter Homology Complexes. ISRN Geometry،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-468184
Modern Language Association (MLA)
Callegaro, Filippo& Gaiffi, Giovanni. An Explicit Description of Coxeter Homology Complexes. ISRN Geometry No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-468184
American Medical Association (AMA)
Callegaro, Filippo& Gaiffi, Giovanni. An Explicit Description of Coxeter Homology Complexes. ISRN Geometry. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-468184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468184