nLab Yongbin Ruan

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Selected writings

Introducing quantum cohomology:

• Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology, Mathematical Research Letters 1 2 (1994) 269-278 [doi:10.4310/MRL.1994.v1.n2.a15, pdf]

• Yongbin Ruan, Gang Tian, A mathematical theory of quantum cohomology, J. Diff. Geometry 42 2 (1995) 259-367 [doi:10.4310/jdg/1214457234]

Introducing Chen-Ruan cohomology for orbifolds:

• Weimin Chen, Yongbin Ruan, A New Cohomology Theory for Orbifold, Commun. Math. Phys. 248 (2004) 1-31 (arXiv:math/0004129)

On orbifolds, orbifold cohomology and specifically on Chen-Ruan cohomology and equivariant K-theory:

• Alejandro Adem, Johann Leida, Yongbin Ruan, Orbifolds and Stringy Topology, Cambridge Tracts in Mathematics 171 (2007) (doi:10.1017/CBO9780511543081, pdf)

On discrete torsion in relation to twisted Chen-ruan orbifold cohomology:

• Yongbin Ruan, Discrete torsion and twisted orbifold cohomology, J. Sympl. Geom. 2 (2003), 1–24 (arXiv:math/0005299)

On twisted orbifold K-theory:

• Alejandro Adem, Yongbin Ruan, Twisted Orbifold K-Theory, Commun. Math. Phys. 237 (2003) 533-556 (arXiv:math/0107168)

• Alejandro Adem, Yongbin Ruan, Bin Zhang, A Stringy Product on Twisted Orbifold K-theory, Morfismos (10th Anniversary Issue), Vol. 11, No 2 (2007), 33-64. (arXiv:math/0605534, Morfismos pdf)

On orbifolds in mathematical physics and in particular in string theory:

• Alejandro Adem, Jack Morava, Yongbin Ruan, Orbifolds in Mathematics and Physics, Contemporary Mathematics 310, American Mathematical Society, 2002

On gauged linear sigma-models:

• Huijun Fan, Tyler Jarvis, Yongbin Ruan, A Mathematical Theory of the Gauged Linear Sigma Model (arXiv:1506.02109)

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