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I have two finite rank free modules $M,N$ over a principal ideal domain (the ring of formal complex power series to be exact) and a homomorphism between these two modules $\phi:M\r … 1answer 163 views ### About the curvature of a connection? In "Lectures on gauge theory and integrable systems" of M.Audin, she identifies the space of conections$\mathcal{A}$on the trivial bundle$G\times S$($G$Lie group,$S$surface … 0answers 65 views ### Iterated Tangent Category Construction We can think of the "tangent category" of a category$\mathcal{C}$at an object$A$as being the abelian group objects in the overcategory$\mathcal{C}/A$(with whatever conditions … 1answer 262 views ### When does a$W^*$-algebra have a standard Borel spectrum? EDIT: André Henriques has commented below that the correct separability condition is not weak-* separability as I have written below, but separability of the predual. This post c … 1answer 102 views ### Constructing Polynomial Count Varieties I have some naive questions about polynomial-count affine varieties over$\mathbb{C}$: Are all reductive algebraic groups strongly polynomial-count? Are products of strongly poly … 0answers 43 views ### identity for number of monomials Fix a positive integer$d \geq 2$, and let$n,k$be natural numbers with$k \leq n$. Let b(n,k) denote the number of monomials of degree kd-(n+1) in n+1 variables x_0,..x_n with … 1answer 78 views ### Equivariant versus retractive spaces: a reference request Let$T$be the category of compactly generated weak Hausdorff spaces with model structure given by Serre fibrations, Serre cofibrations and weak homotopy equivalences. Let$G = |G. …

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