A new equivariant cohomology ring

In this paper, motivated by Chen–Ruan’s stringy orbifold theory on almost complex orbifolds, we construct a new equivariant cohomology ring H G ∗ ( X ) for an equivariant almost complex pair ( X ,  G ), where X is a compact connected almost complex manifold, G is a connected compact Lie group which...

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Veröffentlicht in:Mathematische Zeitschrift 2020-08, Vol.295 (3-4), p.1163-1182
Hauptverfasser: Chen, Bohui, Du, Cheng-Yong, Li, Tiyao
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Sprache:eng
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Zusammenfassung:In this paper, motivated by Chen–Ruan’s stringy orbifold theory on almost complex orbifolds, we construct a new equivariant cohomology ring H G ∗ ( X ) for an equivariant almost complex pair ( X ,  G ), where X is a compact connected almost complex manifold, G is a connected compact Lie group which acts on X and preserves the almost complex structure.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-019-02398-3