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boundary-bulk map

Journal of the Institute of Mathematics of Jussieu (1)

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ATIYAH CLASS AND CHERN CHARACTER FOR GLOBAL MATRIX FACTORISATIONS
Part of
- (Co)homology theory
- Homological algebra
Bumsig Kim, Alexander Polishchuk
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 21 / Issue 4 / July 2022

Published online by Cambridge University Press:

08 January 2021, pp. 1445-1470

Print publication:

July 2022
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We define the Atiyah class for global matrix factorisations and use it to give a formula for the categorical Chern character and the boundary-bulk map for matrix factorisations, generalising the formula in the local case obtained in [12]. Our approach is based on developing the Lie algebra analogies observed by Kapranov [7] and Markarian [9].