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 …
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 ...
euler class of the normal bundle and self intersection number
euler class of the normal bundle and self intersection number [duplicate] Ask Question Asked 12 years, 9 months ago Modified 11 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 - Alternative proofs of Euclid-Euler theorem ...
Sep 7, 2022 · nt.number-theory prime-numbers mathematics-education alternative-proof perfect-numbers Cite Improve this question edited Mar 3, 2024 at 21:10
nt.number theory - On Euler's polynomial $x^2+x+41$ - MathOverflow
Jun 10, 2019 · This is an elementary question about something way outside my area of expertise. A well-known observation due to Euler is that the polynomial $P(x)=x^2+x+41$ takes on ...
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, 7 months ago Modified 7 years, 9 months ago
Circle bundles over $CP^1$ and self-intersection number of $CP^1 ...
May 15, 2013 · If you want a negative Euler class, you use the opposite orientation on $\mathbb CP^2$. I'm not sure I understand your question about a "deeper relation" with the Hopf bundle. One way to …
Defining Euler's number via elementary euclidean geometry (and a ...
Oct 16, 2015 · Defining Euler's number via elementary euclidean geometry (and a dimension limit) Ask Question Asked 10 years, 2 months ago Modified 8 months ago
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 …