Abstract
The theory of perverse sheaves can be said to provide an interpolation between homology and cohomology (or to mix them in a self-dual way). Since homology, sheaf-theoretically, can be understood as cohomology with compact support, interesting operations on perverse sheaves usually combine the functors of the types f! and f∗ or, dually, the functors of the types f! and f∗ in the classical formalism of Grothendieck.
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Notes
- 1.
The notation ⊕ here and below means direct sum of vector bundles, i.e., fiber product over N.
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Acknowledgements
We would like to thank P. Schapira for remarks on a preliminary draft of the paper and for communicating to us a proof of Theorem 6.7. We are also grateful to Peng Zhou for several corrections.
The research of M.F. was supported by the grant RSF 19-11-00056.
The research of M.K. was supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.
V. S. thanks Kavli IPMU for support of a visit during the preparation of this paper.
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Finkelberg, M., Kapranov, M., Schechtman, V. (2022). Fourier-Sato Transform on Hyperplane Arrangements. In: Baranovsky, V., Guay, N., Schedler, T. (eds) Representation Theory and Algebraic Geometry. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-82007-7_4
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