MathOverflow

Let $A_1,A_2,B_1,B_2,C_1,C_2$ be six points in Euclidean affine $3$-space, in general position. Put
$$a=A_1A_2,\qquad b=B_1B_2,\qquad c=C_1C_2.$$
For each $(i,j,k)\in\{1,2\}^3$, let

It is known that an arbitrary $(\infty, 1)$-category can be presented by some relative category $(C, W)$ (up-to equivalence).
What's the minimal additional structure/assumptions put on top of a relative category would allow us to present precisely all stable $(\infty, 1)$-categories?...

The standard Osterwalder-Schrader theorem tells you that if you have a random distribution that satisfies some properties (such as reflection positivity), then you can "Wick rotate" it to get a quantum field -- that is, a Hermitian operator valued distribution...

I have two related questions about how Kählerness is preserved over maps of compact complex varieties.
Question 1. Let $X$ be a compact complex manifold with a map $f\colon X\to Y$ to a Kähler variety $Y$, possibly singular. Suppose that $X$ admits a relatively ample line bundle, i.e., a line bundle $L$ such that the restriction of $L$ to every fiber...