Let \(\Sigma _g\) denote the closed oriented surface of genus \(g\). Show that every map \(f:\Sigma _2\to \Sigma _3\) has degree 0.
Question
Math 6510 • Differentiable Manifolds
Spring 2008 • Question 15
Question
Spring 2008 • Question 15
Let \(\Sigma _g\) denote the closed oriented surface of genus \(g\). Show that every map \(f:\Sigma _2\to \Sigma _3\) has degree 0.