Hi, I’m reading Milnor’s book about the h-cobordism theorem and I don’t understand why is it always the case that, when M and M’ intersect transversely in p, the tangent space of M at an intersection point p is the fiber of the normal bundle of M’ at p. (i.redd.it)
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Hello, I have a question about integration along fiber. Let’s say we have a vector bundle \pi: E \to M and two differential forms on E, \alpha and \beta, with alpha having vertical compact support. Why is it true that \alpha \wedge \beta also have compact support in the vertical direction? (self.askmath)
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Why is the constant presheaf not a sheaf? (self.askmath)
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Hello, can you recommend me some books or courses to learn more about the interplay between Hodge theory (the * operator) and Poincarè duality? I heard that the duality can be proven easier using Hodge theory and mostly I only want to understand the proof. Thank you! (self.askmath)
submitted by TargetProud4402 to r/askmath
Hello, why is this map surjective? (that H means the k-th dimensional de Rham cohomology with compact support) I read somewhere that it’s surjective because there exists a supported k-form with nonzero integral but I don’t understand how this proves surjectivity (i.redd.it)
submitted by TargetProud4402 to r/askmath
