Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897628 | Journal of Pure and Applied Algebra | 2018 | 41 Pages |
Abstract
This paper affirms a conjecture of MacPherson-that the derived category of cellular sheaves is equivalent to the derived category of cellular cosheaves. We give a self-contained treatment of cellular sheaves and cosheaves and note that certain classical dualities give rise to an exchange of sheaves with cosheaves. Following a result of Pitts that states that cosheaves are cocontinuous functors on the category of sheaves, we use the derived equivalence provided here to gain a novel description of compactly-supported sheaf cohomology.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Justin Michael Curry,