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In mathematics, specifically the theory of quadratic forms, an ε-quadratic form is a generalization of quadratic forms to skew-symmetric settings and to *-rings; ε = ±1, accordingly for symmetric or skew-symmetric. They are also called -quadratic forms, particularly in the context of surgery theory. The theory is 2-local: away from 2, ε-quadratic forms are equivalent to ε-symmetric forms: half the symmetrization map (below) gives an explicit isomorphism.

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rdfs:label	Ε-quadratic form (en)
rdfs:comment	In mathematics, specifically the theory of quadratic forms, an ε-quadratic form is a generalization of quadratic forms to skew-symmetric settings and to *-rings; ε = ±1, accordingly for symmetric or skew-symmetric. They are also called -quadratic forms, particularly in the context of surgery theory. The theory is 2-local: away from 2, ε-quadratic forms are equivalent to ε-symmetric forms: half the symmetrization map (below) gives an explicit isomorphism. (en)
foaf:depiction
dct:subject	Quadratic forms Surgery theory
Wikipage page ID	13979549 (xsd:integer)
Wikipage revision ID	1073416385 (xsd:integer)
Link from a Wikipage to another Wikipage	Hermitian form C.T.C. Wall Nonsingular Bilinear form Arf invariant Hopf fibration Invariant (mathematics) L-theory Witt group *-ring Quadratic forms Conjugate transpose Surgery theory Mathematics Clifford algebra Connected sum Kernel (algebra) Kervaire invariant Torus Coinvariant Poincaré duality Quadratic form Group action (mathematics) Hermitian matrices Involution (mathematics) Surgery theory Cobordism Codimension Cokernel Homotopy group Symmetric bilinear form Skew-Hermitian matrices Skew-symmetric form Discriminant Knot (mathematics) Away from 2 Tensor algebra Seifert surface Symplectic basis Intersection product Framed manifold Symplectic form Doubly even Skew-Hermitian form Singly even Homology group
sameAs	Ε-quadratic form Ε-quadratic form Ε-quadratic form
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has abstract	In mathematics, specifically the theory of quadratic forms, an ε-quadratic form is a generalization of quadratic forms to skew-symmetric settings and to -rings; ε = ±1, accordingly for symmetric or skew-symmetric. They are also called -quadratic forms, particularly in the context of surgery theory. There is the related notion of ε-symmetric forms, which generalizes symmetric forms, skew-symmetric forms (= symplectic forms), Hermitian forms, and skew-Hermitian forms. More briefly, one may refer to quadratic, skew-quadratic, symmetric, and skew-symmetric forms, where "skew" means (−) and the (involution) is implied. The theory is 2-local: away from 2, ε-quadratic forms are equivalent to ε-symmetric forms: half the symmetrization map (below) gives an explicit isomorphism. (en)
prov:wasDerivedFrom	wikipedia-en:Ε-quadratic_form?oldid=1073416385&ns=0
page length (characters) of wiki page	11750 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Ε-quadratic_form
is rdfs:seeAlso of	Intersection theory
is Link from a Wikipage to another Wikipage of	Witt group Quadratic refinement Quadratic form Intersection theory E-quadratic form Polarization identity Signature (topology) Ε-quadratic refinement Hyperbolic ε-quadratic forms Skew-quadratic form Ε-quadratic forms Ε-quadratic hyperbolic forms Ε-symmetric form
is Wikipage redirect of	Quadratic refinement E-quadratic form Ε-quadratic refinement Hyperbolic ε-quadratic forms Skew-quadratic form Ε-quadratic forms Ε-quadratic hyperbolic forms Ε-symmetric form
is foaf:primaryTopic of	wikipedia-en:Ε-quadratic_form

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