MathOverflow

Is there a literature that contains an explicit formula of Seifert invariantsof 3-manifold $S^3_{T_{p,q}}(\frac{s}{r})$, the $\frac{s}{r}$-Dehn surgery on the $(p,q)$-torus knot $T_{p,q}$ ?
As for the Dehn surgery on torus knots, it is often refered
Moser, Louise,Elementary surgery along a torus knot.Pacific J. Math. 38 (1971), 737–745....

Let $K:=\mathbb{Q}_{p^d}$ be the $d$-degree unramified extension of $\mathbb{Q}_p$. Let $K^{ur}$ be the maximal unramified extension of $K$.
Is there a unique unramified $p$-degree sub-extension of $K^{ur}$? In characteristic $p$, the phenomena is due to Artin-Schreier extension....

Let $X$ be a smooth variety over $\mathbb{C}$,$Z$ be a closed subvariety of $X$.Let $f:X \to \mathbb{A}_{\mathbb{C}}^{1}$ be a regular function, $X_0 := f^{-1}(0)$.Denote $Z_0 = X_0 \cap Z$ and $i : Z \hookrightarrow X$, $i_0 : Z_0 \hookrightarrow X...

Suppose we have a function $f(x,y,z)$ where the inputs are uniform from 0 to 1. The output is either $+1$ or $-1$. And there is a partial symmetry $f(x,y,z) = f(z,y,x)$.
Tell me what the minimum of this expression is over all functions $f$:$$E[f(a,b,c)f(b,c,d) + f(a,b,c) f(c,d,e)]$$...