Meta
- CiteKey: “HMM+21”
- Type: journalArticle
- Author: “Hoekzema, Renee S.; Merling, Mona; Murray, Laura; Rovi, Carmen; Semikina, Julia;”\
- Year: 2022
- DOI: 10.1016/j.topol.2022.108105
- Collections: “Syllabus; Talbot 2022,”
- Original URL: https://www.sciencedirect.com/science/article/pii/S0166864122001079
- Open in Zotero: Zotero
Abstract
Recent work of Inna Zakharevich and Jonathan Campbell 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 we give a new application of their framework: we construct a K-theory space that recovers the classical SK (“schneiden und kleben,” German for “cut and paste”) groups for manifolds on π0, and we construct a derived version of the Euler characteristic.
Extracted Annotations
Annotations(6/8/2022, 6:58:06 PM)
File:HMM+21_DC84UMJ8.png (Hoekzema et al., 2022, p. 2)
File:HMM+21_4C5TQ9YU.png (Hoekzema et al., 2022, p. 2)
File:HMM+21_5PE4RNGG.png (Hoekzema et al., 2022, p. 2)
File:HMM+21_DCWX4IL7.png (Hoekzema et al., 2022, p. 3)
File:HMM+21_6AJ8EL2E.png (Hoekzema et al., 2022, p. 3)
File:HMM+21_QNTITPAS.png (Hoekzema et al., 2022, p. 4)
File:HMM+21_3RWKBK7B.png (Hoekzema et al., 2022, p. 5)
File:HMM+21_XJIGE928.png (Hoekzema et al., 2022, p. 6)
File:HMM+21_S7H8GJUJ.png (Hoekzema et al., 2022, p. 6)
File:HMM+21_WPXFW6N9.png (Hoekzema et al., 2022, p. 7)
File:HMM+21_4EZ4NMG3.png (Hoekzema et al., 2022, p. 8)
File:HMM+21_HKCKFJPC.png (Hoekzema et al., 2022, p. 8)
File:HMM+21_QIA7SKEL.png (Hoekzema et al., 2022, p. 10)
File:HMM+21_QBC66G4D.png (Hoekzema et al., 2022, p. 11)
File:HMM+21_LS44WDMP.png (Hoekzema et al., 2022, p. 11)
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File:HMM+21_66LRB2ZW.png (Hoekzema et al., 2022, p. 12)
File:HMM+21_N2BJG3VS.png (Hoekzema et al., 2022, p. 12)
File:HMM+21_MWKEJAYP.png (Hoekzema et al., 2022, p. 15)
File:HMM+21_FCK84MLM.png (Hoekzema et al., 2022, p. 16)
File:HMM+21_26AGJZ54.png (Hoekzema et al., 2022, p. 19)
