The Abel Summation Method and Infinite Euler Characteristic

2026/05/20 by Thomas Huettemann, Dan Kucerovsky · 3 voices
Mathematics · #math.KT

paper · pdf

arxiv published 2026/05/20 · arxiv updated 2026/07/07

Abstract

We develop a finiteness notion for unbounded chain complexes over a commutative noetherian integral domain R employing the Abel summation method. The algebraic K-theory of such complexes is defined, and shown to be non-trivial. We also exhibit a natural map from the (usual) algebraic K-theory of R into the new K-theory and show that its image contains a canonical infinite cyclic subgroup.

Discussions

• Maybe we would learn if we read this paper? arxiv.org/abs/2605.213... [bsky, 1 points, 0 comments]
• Thomas Huettemann, Dan Kucerovsky The Abel Summation Method and Infinite Euler Characteristic https://arxiv.org/abs/2605.21373 [bsky, 0 points, 0 comments]
• Thomas Huettemann, Dan Kucerovsky: The Abel Summation Method and Infinite Euler Characteristic https://arxiv.org/abs/2605.21373 https://arxiv.org/pdf/2605.21373 https://arxiv.org/html/2605.21373 [bsky, 0 points, 0 comments]

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