A link invariant with values in the Witt ring

The Chow-Witt ring

The Reduced Witt Ring of a Formally

The reduced Witt rings of certain formally real fields are computed here in terms of some basic arithmetic invariants of the fields. For some fields, including the rational function field in one variable over the rational numbers and the rational function field in two variables over the real numbers, this is done by computing the image of the total signature map on the Witt ring. For a wider cl...

Construction of the Ring of Witt Vectors

I will describe a functor A 7→ W (A) from the category of commutative rings to itself. The ring W (A) of ‘Witt vectors’ over A has many applications (to algebraic geometry, local rings, etc.), but I won’t discuss those. Convention: rings have 1’s that are respected by ring homomorphisms. By A I will always denote a commutative ring. The literature on the functor W is in a somewhat unsatisfactor...

Quadratic Forms over Fields Ii: Structure of the Witt Ring

an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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