Linking forms, reciprocity for Gauss sums and invariants of 3-manifolds

DOI10.1090/S0002-9947-99-02304-1zbMath0938.57012MaRDI QIDQ4235616

Florian Deloup

Publication date: 22 March 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

manifoldGauss sumquadratic formreciprocityWitt groupmodular categorylinking form

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Algebraic theory of quadratic forms; Witt groups and rings (11E81)

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Cites Work

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• A la recherche de la topologie perdue. 1: Du côté de chez Rohlin. 2: Le côté de Casson
• Algebraic classification of linking pairings on 3-manifolds
• The topology of 4-manifolds
• Bilinear and quadratic forms on torsion modules
• A calculus for framed links in \(S^3\)
• Invariants of three-manifolds derived from linking matrices of framed links
• Quadratic forms on finite groups, and related topics
• Symmetric bilinear forms and quadratic forms
• Quadratic functions, the index modulo 8, and a Z/4-Hirzebruch formula
• Branched covering spaces and the quadratic forms of links
• COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS
• The determination of Gauss sums
• Formes quadratiques d'enlacement sur l'anneau des entiers d'un corps de nombres
• QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker
• HERMITIAN AND QUADRATIC FORMS OVER RINGS WITH INVOLUTION
• Quantum invariants of knots and 3-manifolds