gt.geometric topology - Euler number of a Seifert bundle as a ...
Apr 3, 2024 · In classic, Euler numbers associated to circle bundles over a fixed surface classify all possible such bundles. But the construction of Euler class in general requires the fact that any fiber …
nt.number theory - Fibonacci series captures Euler $e=2.718\dots ...
Fibonacci series captures Euler e = 2.718 … e = 2.718 … Ask Question Asked 8 years, 9 months ago Modified 2 years, 8 months ago
transcendental number theory - Why is it hard to prove that the Euler ...
May 2, 2013 · Philosophically, there is essentially only one way to prove that a number is irrational/transcendental, which is to use the fact that there is no integer between 0 and 1. That is, …
nt.number theory - On Euler's polynomial $x^2+x+41$ - MathOverflow
Jun 10, 2019 · A well-known observation due to Euler is that the polynomial P(x) = x2 + x + 41 takes on only prime values for the first 40 integer values of x starting with x = 0, namely the values 41, 43, 47, …
triangulations of torus, general, and Euler number. (Hopefully more ...
Apr 25, 2017 · triangulations of torus, general, and Euler number. (Hopefully more interesting/relevant) Ask Question Asked 15 years, 8 months ago Modified 7 years, 10 months ago
Euler characteristic of a manifold and self-intersection
This is probably quite easy, but how do you show that the Euler characteristic of a manifold M (defined for example as the alternating sum of the dimensions of integral cohomology groups) is equal ...
nt.number theory - Euler and the Four-Squares Theorem - MathOverflow
Later, Euler attributed to Goldbach the much stronger claim that the two summands can be chosen to be prime, which is a strong form of the Goldbach conjecture. Euler's intention was proving the Four …
Cobordisms and Euler characteristics - MathOverflow
May 16, 2017 · I am trying to understand exactly which role the Euler characteristic plays in (smooth) cobordism theory, and especially why the answer seems to depend on the dimensions of the …
Does a connected manifold with vanishing Euler characteristic admit a ...
That a compact manifold M with vanishing Euler characteristic has a nonvanishing vector field was proved by Heinz Hopf, Vektorfelder in Mannifaltigkeiten, Math.
euler class of the normal bundle and self intersection number
I have read that the euler class e(NS/X) e (N S / X) corresponds (via integration over S, i suppose) to the self intersection number S ⋅ S S S. I've thought about it, but i don't know how to prove it, also i can't …