Orbifold Quantum Riemann-roch, Lefschetz and Serre

@inproceedings{Tseng2006OrbifoldQR,
  title={Orbifold Quantum Riemann-roch, Lefschetz and Serre},
  author={H. E. Tseng},
  year={2006}
}
Given a vector bundle F on a smooth Deligne-Mumford stack X and an invertible multiplicative characteristic class c, we define orbifold Gromov-Witten invariants of X twisted by F and c. We prove a “quantum Riemann-Roch theorem” (Theorem 4.2.1) which expresses the generating function of the twisted invariants in terms of the generating function of the untwisted invariants. A quantum Lefschetz hyperplane theorem is derived from this by specializing to genus zero. As an application, we determine… CONTINUE READING

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Showing 1-10 of 57 references

Quantum Riemann-Roch

T. Coates, A. Givental
Lefschetz and Serre, Ann. of Math. , 165 • 2007
View 13 Excerpts
Highly Influenced

Gromov–witten Theory of Deligne–mumford Stacks

Tom Graber, ANGELO VISTOLI
2006
View 10 Excerpts
Highly Influenced

Riemann-Roch Theorems in Gromov-Witten Theory, PhD thesis, UC Berkeley, spring

T. Coates
2003
View 9 Excerpts
Highly Influenced

Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford

B. Toen
K-Theory 18 • 1999
View 7 Excerpts
Highly Influenced

Algebraic Orbifold Quantum Products

Tom Graber, ANGELO VISTOLI
-1
View 10 Excerpts
Highly Influenced

Compactifying the Space of Stable Maps

ANGELO VISTOLI
2001
View 5 Excerpts
Highly Influenced

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