Timeline for How many polynomial Morse functions on the sphere?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 18, 2014 at 5:00 | vote | accept | Will Sawin | ||
| Mar 30, 2013 at 12:04 | answer | added | Liviu Nicolaescu | timeline score: 29 | |
| Mar 30, 2013 at 10:29 | comment | added | Dmitri Panov | If you consider the case $n=2$, I believe the precise answer to your question should be known for all $d$. V.I. Arnol'd was interested in such type of questions, originally in the case when you replace $S^1$ by $\mathbb R^1$ and homogeneous polynomials by inhomogeneous. Probably one should chase the references to Arnold's article : mathnet.ru/php/… You might also want to have a look on the article of Barannikov "On the space of real polynomials without multiple critical values" | |
| Mar 29, 2013 at 21:18 | history | asked | Will Sawin | CC BY-SA 3.0 |