The Witt Group of Degree k Maps and Asymmetric Inner Product Spaces

Warshauer, Max L.

doi:10.1007/bfb0098260

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Cited by 4 publications

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“…On the purely algebraic side ZJV-theory is related to the work of Lewis [8] and Warshauer [15] on the L-theory of quadratic extensions of fields, as detailed in [5,Section 1]. Indeed, this paper was originally intended to serve as Appendix 4 to reference [H-T-W] of [5].…”

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confidence: 99%

The L-Theory of Twisted Quadratic Extensions

Ranicki

1987

Can. j. math.

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For surgery on codimension 1 submanifolds with non-trivial normal bundle the theory of Wall [13, Section 12C] has obstruction groups LN∗(π′ → π), with π a group and π′ a subgroup of index 2, such that there is defined an exact sequence involving the ordinary L-groups of rings with involutionwith the superscript w signifying a different involution on Z[π]. Geometry was used in [13] to identifywith (α, u) an antistructure on Z[π′] in the sense of Wall [14]. The main result of this paper is a purely algebraic version of this identification, for any twisted quadratic extension of a ring with antistructure.

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The L-Theory of Twisted Quadratic Extensions

Ranicki

1987

Can. j. math.

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An introduction to maps between surgery obstruction groups

Hambleton

Taylor

Williams

1984

Algebraic Topology Aarhus 1982

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Periodicity of Clifford algebras and exact octagons of Witt groups

Lewis

1985

Math. Proc. Camb. Phil. Soc.

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Exact octagons, i.e. circular eight-term exact sequences, have cropped up recently in a few places in the literature. Papers of the author [11], and implicitly [10], the book of M. Warshauer[14], and the notes [5], all contain exact octagons. The first three references involve octagons of Witt groups of quadratic and other kinds of forms, the last reference extending the octagons to the setting of L-groups, i.e. surgery obstruction groups.

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The Witt Group of Degree k Maps and Asymmetric Inner Product Spaces

Cited by 4 publications

References 0 publications

The L-Theory of Twisted Quadratic Extensions

The L-Theory of Twisted Quadratic Extensions

An introduction to maps between surgery obstruction groups

Periodicity of Clifford algebras and exact octagons of Witt groups

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