Resolutions of four modules over the algebra A(1)
Drawings done for the show "Mind"
at
Gallery Project, Ann Arbor, Michigan
February 24 through March 28, 2010,
by
Robert R. Bruner
(Press release
and a
review
quoted here.)
In each of the following,
the drawing shows
-
the resolution through homological degree 6 or 7,
by which time periodicity is well evident, so that the
viewer can complete the process, given an infinite amount of time
(or cylindrical paper in the purely periodic case, the Moore space) and
-
a chart of Ext(M,F_2) with a numeric
key showing how the Ext chart is derived from the resolution.
The links to the "text"
give the same information
in text form, and are taken from the book
Connective Real K-Theory of Finite Groups
by John Greenlees and me.
Here is some
commentary
on these drawings that may elucidate their meaning and give
some (brief) information on some of the choices made.
If anyone decides to play these on the piano, or any other instrument,
I would be glad to hear the result.
The drawings themselves are 18 inches by 34 inches,
on acid free paper with archival quality ink, and
were photographed by
Eric Law.
The grid lines were hand drawn using a No. 4 pencil against a straightedge at a spacing
of 1/2 inch.
Drawings and photographs copyright Robert R. Bruner 2010 and 2012, respectively.
