A Very Elementary Introduction to Sheaves
@inproceedings{Agrios2022AVE, title={A Very Elementary Introduction to Sheaves}, author={Mark Agrios}, year={2022} }
Here, we give a simple and approachable explanation to the mathematical objects called sheaves. This paper presents tangible and concrete examples so that readers will be able to further explore these concepts on their own in more abstraction and application. There are things called pre-sheaves which are a less specific object used to define a true sheaf. It just isn’t helpful to bring up that distinction in an introductory paper. So sometimes when the word "sheaf" is used it might actually…
Figures from this paper
References
SHOWING 1-7 OF 7 REFERENCES
Sheaves, Cosheaves and Applications
- Mathematics
- 2014
This thesis develops the theory of sheaves and cosheaves with an eye towards applications in science and engineering. To provide a theory that is computable, we focus on a combinatorial version of…
Learning Sheaf Laplacians from Smooth Signals
- MathematicsICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2019
This work considers the problem of learning a cellular sheaf from a collection of highly consistent or smooth signals associated to the vertices of the underlying graph.
A gentle introduction to sheaves on graphs
Presentation: What is a sheaf?
Presentation: What is a sheaf? http://www
- drmichaelrobinson.net/sheaftutorial/20150825_tutorial_3.pdf, b. Accessed:
- 2015
Presentation: Sheaves and numerical analysis
- http://www.drmichaelrobinson.net/20170802_AAG.pdf, a. Accessed:
- 2017