Dell’Ambrogio, Ivo; Fasel, Jean The Witt groups of the spheres away from two. (English) Zbl 1202.19006 J. Pure Appl. Algebra 212, No. 5, 1039-1045 (2008). Summary: We calculate the Witt groups of the spheres up to 2-primary torsion. Cited in 2 Documents MSC: 19G12 Witt groups of rings 11E81 Algebraic theory of quadratic forms; Witt groups and rings 18E30 Derived categories, triangulated categories (MSC2010) 14C15 (Equivariant) Chow groups and rings; motives PDFBibTeX XMLCite \textit{I. Dell'Ambrogio} and \textit{J. Fasel}, J. Pure Appl. Algebra 212, No. 5, 1039--1045 (2008; Zbl 1202.19006) Full Text: DOI References: [1] Balmer, Paul, Witt groups, (Handbook of \(K\)-Theory, vol. 2 (2005), Springer: Springer Berlin), 539-576 · Zbl 1115.19004 [2] Balmer, P.; Walter, C., A Gersten-Witt spectral sequence for regular schemes, Ann. Sci. École Norm. Sup. (4), 35, 1, 127-152 (2002) · Zbl 1012.19003 [3] Brumfiel, G. W., Witt rings and \(K\)-theory, Rocky Mountain J. Math., 14, 4, 733-765 (1984) · Zbl 0576.14024 [4] Brumfiel, G. W., The real spectrum of an ideal and \(KO\)-theory exact sequences, \(K\)-Theory, 1, 3, 211-235 (1987) · Zbl 0631.14018 [5] Gille, Stefan, On Witt groups with support, Math. Ann., 322, 1, 103-137 (2002) · Zbl 1010.19003 [6] Gille, Stefan, Homotopy invariance of coherent Witt groups, Math. Z., 244, 211-233 (2003) · Zbl 1028.11025 [7] Gille, Stefan, A transfer morphism for Witt groups, J. Reine Angew. Math., 564, 215-233 (2003) · Zbl 1050.11046 [8] Gille, Stefan, The general dévissage theorem for Witt groups of schemes, Arch. Math., 88, 333-343 (2007) · Zbl 1175.19001 [9] Gille, S.; Nenashev, A., Pairings in triangular Witt theory, J. Algebra, 261, 2, 292-309 (2003) · Zbl 1016.18007 [10] Hornbostel, J.; Schlichting, M., Localization in Hermitian \(K\)-theory of rings, J. London Math. Soc. (2), 70, 1, 77-124 (2004) · Zbl 1061.19003 [11] Lam, Tsit-Yuen, Introduction to quadratic forms over fields, (Graduate Studies in Math., vol. 67 (2005), American Math. Soc., Providence) · Zbl 0244.10020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.