{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

dif8-page10 - is a Lie group determine its dimension Prove...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: is a Lie group, determine its dimension. Prove that SU(2) is diffeomorphic to 3 the 3-dimensional sphere S . Exercise 8-4. Which surface shall we get from the classification list if we glue to the sphere k > 1 M o bius bands and l handles? Exercise 8-5. Let P be a complex polynomial of degree k having k different 2 roots. Consider the subset of C defined by 2 l M = {(z,w) e C : z = P(w)}. Show that M is diffeomorphic to a sphere with g handles with N points omitted. Express g and N in terms of k and l. 10...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern