6 problems

Let $X$ be a complex manifold equipped with an effective action of a finite group $G$. Write $X/G$ for the quotient, and let $\widehat{Ell}(X/G,;y,q)$ denote the normalized ellipti…

Let $A$ be an abelian surface over $\mathbb{C}$, let $A^{[\ell]}$ be its Hilbert scheme of length-$\ell$ subschemes, and let $A^{\langle\ell-1\rangle}$ be the fiber over $0$ of the…

Let $M_1$ be the $24$-dimensional String manifold of Hopkins–Mahowald. For non-negative integers $i$, $j$, and $k$, let $T^i\otimes\wedge^j\otimes S^k$ denote the corresponding ten…

Let $G$ be the global symmetry group of a rank-one $H_G$ theory, let $v$ and $m_G$ denote its fugacities, and let $Q_{\tau}$ be the elliptic-parameter fugacity. Write … Let…

Let $a\in\{\operatorname{cob},\operatorname{ell}\}$, let $\underline\beta\in\mathbb Z^4$ satisfy $\beta_1\equiv\beta_2\pmod 2$ and $\beta_3\ge\beta_4-3$, and let…

Let $S$ be a smooth projective surface with $b_1(S)=0$, $p_g(S)>0$, $K_S\ne0$, and with only Seiberg–Witten basic classes $0$ and $K_S$. Let $H,c_1,c_2$ be chosen so that there are…