Higher genus relative Gromov--Witten theory and DR-cycles

Fenglong You; Honglu Fan; Longting Wu

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Higher genus relative Gromov--Witten theory and DR-cycles

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arxiv 1907.07133 v2 pith:SK2LT7SD submitted 2019-07-16 math.AG

Higher genus relative Gromov--Witten theory and DR-cycles

Honglu Fan , Longting Wu , Fenglong You This is my paper

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keywords gromov--wittenrelativetheorycohftcontactcycledefinitiondr-cycles

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We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. Some cycle relations on the moduli space of stable maps are also proved.

Higher genus relative Gromov--Witten theory and DR-cycles

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