Floor, ceiling, slopes, and KK-theory

Yuri Sulyma. Interactive figures accompanying the article.

About these figures

These are interactive widgets to explore the results and figures in the paper Floor, ceiling, slopes, and KK-theory, which is the canonical version of this work. The source code for the figures is available on GitHub.

Each figure below is shown as a static image of its default state. Where JavaScript is available, the images are replaced by the interactive versions, in which the prime pp and the exponent ee can be varied.

Figures

Two columns of cohomology classes, headed H-one of N-greater-than-or-equal-two Delta and H-one of Delta, joined by solid and dashed arrows. Several classes are shown in red and one in grey.
Actions of can⁡\operatorname{can} and φ\varphi. Figure 1 of the paper, also relevant in §5.3.
A plot on axes labelled m and n showing interlocking slope regions.
Interlocking slopes. §5.2 of the paper.
A grid of mod-p products, with terms that vanish shown faded.
Mod-pp individual products. §5.3 of the paper. Here n? := (n-1)! denotes the Gamma function, and terms which vanish in H*(N^{≥i} Δ_R/p) are faded.
A multiplication table of K-theory classes, with columns K-two, K-four, K-six and K-eight and entries such as a-one-superscript-one.
Mod-pp times table. §5.3 of the paper.

The static images above show the figures at their default values (p=2p = 2, e=4e = 4).