Abstract
AbstractLet "Equation missing" be a compact Kähler Lagrangian in a holomorphic symplectic variety $$\textrm{X}/\textbf{C}$$
X
/
C
. We use deformation quantisation to show that the endomorphism differential graded algebra $$\textrm{RHom}\big (i_*\textrm{K}_\textrm{L}^{1/2},i_*\textrm{K}_\textrm{L}^{1/2}\big )$$
RHom
(
i
∗
K
L
1
/
2
,
i
∗
K
L
1
/
2
)
is formal. We prove a generalisation to pairs of Lagrangians, along with auxiliary results on the behaviour of formality in families of $${\text {A}}_{\infty }$$
A
∞
-modules.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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