Positivity in hyper kahler manifolds via Rozansky—Witten theory

Chen Jiang/江辰 (Shanghai Centre for Mathematical Sciences, Fudan)

27-Dec-2020, 08:30-09:15 (5 years ago)

Abstract: For a hyperk\"{a}hler manifold $X$ of dimension $2n$, Huybrechts showed that there are constants $a_0, a_2, \dots, a_{2n}$ such that $$\chi(L) =\sum_{i=0}^n\frac{a_{2i}}{(2i)!}q_X(c_1(L))^{i}$$

Mathematics

Audience: researchers in the topic


ICCM 2020

Organizers: Shing Tung Yau, Shiu-Yuen Cheng, Sen Hu*, Mu-Tao Wang
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