56 citations · 112 across the 21 of their papers we have counts for
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math.GT2015★ 2 cited
Double Witt groups
Patrick Orson
The difference between slice and doubly-slice knots is reflected in algebra by the difference between metabolic and hyperbolic Blanchfield linking forms. We exploit this algebraic…
math.GT2015★ 2 cited
Double -groups and doubly-slice knots
Patrick Orson
We develop a theory of chain complex double-cobordism for chain complexes equipped with Poincaré duality. The resulting double-cobordism groups are a refinement of Ranicki's torsio…
math.GT2015
Double L-theory
Patrick Orson
We develop new algebraic methods refining the Witt group of linking forms and Ranicki's torsion algebraic L-groups into double Witt groups and double L-groups. At each prime ideal…