Intersection cohomology of Drinfeld's compactifications

A. Braverman; M. Finkelberg; D. Gaitsgory; I. Mirković

doi:10.1007/s00029-002-8111-5

Intersection cohomology of Drinfeld's compactifications

A. Braverman^*
, M. Finkelberg
, D. Gaitsgory
, I. Mirković

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

Let X be a smooth complete curve, G be a reductive group and P ⊂ G a parabolic. Following Drinfeld, one defines a (relative) compactification Bun_P of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of Bun_P. The description is given in terms of the combinatorics of the Langlands dual Lie algebra ǧ.

Original language	English
Pages (from-to)	381-418
Number of pages	38
Journal	Selecta Mathematica, New Series
Volume	8
Issue number	3
DOIs	https://doi.org/10.1007/s00029-002-8111-5
State	Published - 2002
Externally published	Yes

Keywords

Intersection cohomology
Moduli space of bundles
Plücker relations

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10.1007/s00029-002-8111-5

Cite this

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abstract = "Let X be a smooth complete curve, G be a reductive group and P ⊂ G a parabolic. Following Drinfeld, one defines a (relative) compactification BunP of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of BunP. The description is given in terms of the combinatorics of the Langlands dual Lie algebra ǧ.",

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AU - Gaitsgory, D.

AU - Mirković, I.

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N2 - Let X be a smooth complete curve, G be a reductive group and P ⊂ G a parabolic. Following Drinfeld, one defines a (relative) compactification BunP of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of BunP. The description is given in terms of the combinatorics of the Langlands dual Lie algebra ǧ.

AB - Let X be a smooth complete curve, G be a reductive group and P ⊂ G a parabolic. Following Drinfeld, one defines a (relative) compactification BunP of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of BunP. The description is given in terms of the combinatorics of the Langlands dual Lie algebra ǧ.

KW - Intersection cohomology

KW - Moduli space of bundles

KW - Plücker relations

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ER -

Intersection cohomology of Drinfeld's compactifications

Abstract

Keywords

Access to Document

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Erratum to: Intersection cohomology of Drinfeld’s compactifications (Sel. math., New ser. 8 (2002), 381–418)

Cite this

Intersection cohomology of Drinfeld's compactifications

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

Erratum to: Intersection cohomology of Drinfeld’s compactifications (Sel. math., New ser. 8 (2002), 381–418)

Cite this