|DATE||February 04 (Thu), 2021|
|HOST||Bhamidi, S.S Sreedhar|
|TITLE||Multiplicative property of localised Chern characters|
|ABSTRACT||We would like to discuss the multiplicative property of localised Chern characters for complexes constructed by Baum-Fulton-MacPherson and Polishchuk-Vaintrob. Theirs use MacPherson's graph construction for a complex. It allows us to obtain tautological bundles which are, in a certain sense, extensions of terms of the complex. The key idea of our discussion is to show this is not only extensions of terms but also an extension of the complex.