Photo from wikipedia
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… Click to show full 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 we give a new application of their framework: we construct a spectrum that recovers the classical $\mathrm{SK}$ ("schneiden und kleben," German for "cut and paste") groups for manifolds on $\pi_0$, and we construct a derived version of the Euler characteristic.
Keywords:
algebraic theory;
cut paste;
paste invariants;
via algebraic
Journal Title: Topology and its Applications
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Topology and its Applications
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!