Articles with "algebraic theory" as a keyword



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Hermitian Algebraic K-Theory and the Root System D

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Published in 2017 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-017-3487-0

Abstract: For the root system D, we construct an analog of the Wagoner complex used in his proof of the equivalence of K∗Q$$ {K}_{\ast}^Q $$ and K∗BN$$ {K}_{\ast}^{BN} $$ (linear) algebraic K-theories. We prove that the… read more here.

Keywords: algebraic theory; root system; hermitian algebraic; theory ... See more keywords
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Cut and paste invariants of manifolds via algebraic K-theory

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Published in 2022 at "Topology and its Applications"

DOI: 10.1016/j.topol.2022.108105

Abstract: Recent work of Jonathan Campbell and Inna Zakharevich has focused on building machinery for studying scissors congruence problems via algebraic $K$-theory, and applying these tools to studying the Grothendieck ring of varieties. In this paper… read more here.

Keywords: algebraic theory; cut paste; paste invariants; via algebraic ... See more keywords