Virtual equivariant Grothendieck-Riemann-Roch formula
For a G -scheme X with a given equivariant perfect obstruction theory, we prove a virtual equivariant Grothendieck-Riemann-Roch formula, this is an extension of a result of B. Fantechi and L. Göttsche [Geom. Topol. 14, No. 1, 83–115 (2010; Zbl 1194.14017)] to the equivariant context. We also prove a...
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| Veröffentlicht in: | Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. 2021, Vol.26, p.2061-2094 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For a
G
-scheme
X
with a given equivariant perfect obstruction theory, we prove a virtual equivariant Grothendieck-Riemann-Roch formula, this is an extension of a result of
B. Fantechi
and
L. Göttsche
[Geom. Topol. 14, No. 1, 83–115 (2010; Zbl 1194.14017)] to the equivariant context. We also prove a virtual non-abelian localization theorem for schemes over
\mathbb{C}
with proper actions. |
|---|---|
| ISSN: | 1431-0635 1431-0643 |
| DOI: | 10.4171/dm/864 |