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학술저널

PULL-BACK MORPHISMS, CONVOLUTION PRODUCTS AND STEINBERG VARIETIES

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In this paper, we ¯rst show that the pull-back mor- phism between two K-groups of the Steinberg varieties, obtained respectively from partial °ag varieties and quiver varieties of type A, is a ring homomorphism with respect to the convolution prod-uct. Then, we prove that this ring homomorphism yields a property of compatibility between two certain convolution actions.

1. Introduction

2. Preliminaries

3. Convolution actions on ¯bers, partial °ag variety case

4. Convolution actions on ¯bers, quiver variety case

5. Compatibility between two convolution actions

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