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math.AT2009★ 4 cited
A theory of base motives
Jack Morava
A category of correspondences based on Waldhausen A-theory has interesting analogies, in the context of differential topology, to categories of mixed Tate motives studied in arithm…
math.AT2009
Spin cobordism categories in low dimensions
Nitu Kitchloo, Jack Morava
The Madsen-Tillmann spectra defined by categories of three- and four-dimensional Spin manifolds have a very rich algebraic structure, whose surface is scratched here.