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Let $ \mathcal{M}$ be the moduli stacks of vector bundles of degree $ 0$ and rank $ n$ over smooth curve $ X$ , $ \mathcal{M}_{\mathcal{O}}$ be the moduli stack of vector bundles with fixed determinant $ \mathcal{O}$ and $ J$ be the stacks of line bundles of degree $ 0$ on X. There isRead more

This question is a little bit of a fishing expedition. I have some functions defined in terms of sums over certain partitions (and motivated by geometry — specifically, Hilbert schemes of points on orbifold surfaces) that seem to interpolate between different modular forms and rational functions, and I’m hoping there’s a number-theoretic framework that theyRead more

I am trying to animate THETA value in a polar plot but it shows an error.Please help me. Here is the equation: Animate[PolarPlot[{1/(1 + 0.5*Sin[(a/b) \[Theta] – Pi/4])}], {a, 1, 10,1}, {b, 1, 20, 1}, {\[Theta], 0, c Pi}, AnimationRunning -> False]Read more

Hi, I am looking at the above question and I have made an answer, but upon looking back I realised that I assumed that we would be integrating wrt $ \theta$ from $ 0$ to $ 2\pi$ because we are converting to cylindrical coordinates, but I don’t know if I can make that assumption. MyRead more