When trying to translate everything that has been done in mathematics to the finite world it is good first to look at the most important theorems. Some of the theorems like the pigeon hole principle or the law of the product or the fundamental theorem of arithmetic do not need …
Here is an other “poem” that has been added to the “math poetry page”. Given a simplical complex G, it computes the automorphism group Aut (its group of symmetries, meaning invertible simplicial mapss) and for each T computes both the Lefschetz number and the sum of the indices of the …
During a nice 23 K run on Friday, I was thinking a bit about Lefschetz. This is one of the first stories, I tackled. See the paper. It is one of my 10 favorite theorem in graph theory. I originally formulated it in graph theory in 2012 generalizing the one …
