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arXiv · 1709.06510

Higher Segal structures in algebraic $K$-theory

Thomas Poguntke
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Abstract

We introduce higher dimensional analogues of simplicial constructions due to Segal and Waldhausen, respectively producing the direct sum and algebraic $K$-theory spectra of an exact category. We then investigate their fibrancy properties, based on the formalism of higher Segal spaces by Dyckerhoff-Kapranov.

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Thomas Poguntke. 2017-09-19. Higher Segal structures in algebraic $K$-theory. https://arxiv.org/abs/1709.06510

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