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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| Sprache: | eng |
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| container_end_page | 2094 |
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| container_start_page | 2061 |
| container_title | Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. |
| container_volume | 26 |
| creator | Ravi, Charanya Sreedhar, Bhamidi |
| description | 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. |
| doi_str_mv | 10.4171/dm/864 |
| format | Article |
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G
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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}
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G
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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}
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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.</abstract><doi>10.4171/dm/864</doi><tpages>34</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 1431-0635 |
| ispartof | Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2021, Vol.26, p.2061-2094 |
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| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Virtual equivariant Grothendieck-Riemann-Roch formula |
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