45,745 research outputs found
Notes for Miscellaneous Lectures
Here I share a few notes I used in various course lectures, talks, etc. Some
may be just calculations that in the textbooks are more complicated, scattered,
or less specific; others may be simple observations I found useful or curious.Comment: 6 pages. New section 6 adde
Cohomology of the complement to an elliptic arrangement
We consider the complement to an arrangement of hyperplanes in a cartesian
power of an elliptic curve and describe its cohomology with coefficients in a
nontrivial rank one local system.Comment: AMSLaTeX, 12 page
Aperiodic Tilings: Breaking Translational Symmetry
Classical results on aperiodic tilings are rather complicated and not widely
understood. Below, an alternative approach is discussed in hope to provide
additional intuition not apparent in classical works.Comment: 4 pages, 2 figures, minor change
- …