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In this short note we give an overview of recent work on string propagation on stacks and applications to gauged linear sigma models.
H. Clemens, “Double solids,” Adv. Math. 47
1983
Earlier work this paper cites.
E. Witten, “Phases of N = 2 N=2 theories in two dimensions,” Nucl. Phys. B403
1993
Earlier work this paper cites.
P. Pouliot, “Chiral duals of non-chiral susy gauge theories,” Phys. Lett. B359
1995
Earlier work this paper cites.
M. Douglas, B. Greene, D. Morrison, “Orbifold resolution by D-branes,” Nucl. Phys. B506
1997
Earlier work this paper cites.
M. Strassler, “Duality, phases, spinors and monopoles in S O ( n ) SO(n) and Spin ( n ) (n) gauge theories,” JHEP 9809
1998
Earlier work this paper cites.
M. Kontsevich, “Course on non-commutative geometry,” ENS, 1998, lecture notes at http://www.math.uchicago.edu/ ~ arinkin/langlands/kontsevich.ps
1998
Earlier work this paper cites.
N. Seiberg, E. Witten, “String theory and noncommutative geometry,” JHEP 9909
1999
Earlier work this paper cites.
Y. Soibelman, “Lectures on deformation theory and mirror symmetry,” IPAM, 2003, http://www.math.ksu.edu/ ~ soibel/ipam-fina.l.ps
2003
Cited alongside, same era.
A. Kapustin, Y. Li, “D-branes in Landau-Ginzburg models and algebraic geometry,” JHEP 0312
2003
Cited alongside, same era.
M. van den Bergh, “Three-dimensional flops and noncommutative rings,” Duke Math.J. 122
2004
Cited alongside, same era.
M. van den Bergh, “Non-commutative crepant resolutions,” pp. 749-770 in The legacy of Niels Henrik Abel: the Abel bicentennial, Oslo, 2002
2004
Cited alongside, same era.
D. Roggenkamp, K. Wendland, “Limits and degenerations of unitary conformal field theories,” Comm. Math. Phys. 251
2004
Cited alongside, same era.
S. Hellerman, A. Henriques, T. Pantev, E. Sharpe, M. Ando, “Cluster decomposition, T-duality, and gerby CFTs,” Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
A. Kapustin, E. Witten, “Electric-magnetic duality and the geometric Langlands program,” Comm. Number Theory Phys. 1
2007
Later among the works it cites.
K. Hori, D. Tong, “Aspects of non-Abelian gauge dynamics in two-dimensional N = ( 2 , 2 ) N=(2,2) theories,” JHEP 0705
2007
Later among the works it cites.
A. Kuznetsov, “Homological projective duality,” Publ. Math. Inst. Hautes Études Sci. 105
2007
Later among the works it cites.
K. Costello, “Topological conformal field theories and Calabi-Yau categories,” Adv. Math. 210
2007
Later among the works it cites.
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2006
Cited alongside, same era.
T. Pantev, E. Sharpe, “GLSM’s for gerbes (and other toric stacks),” Adv. Theor. Math. Phys. 10
2006
Cited alongside, same era.
T. Pantev, E. Sharpe, “Notes on gauging noneffective group actions,” hep-th/0502027
Cited in the paper.
A. Caldararu, J. Distler, S. Hellerman, T. Pantev, E. Sharpe, “Non-birational twisted derived equivalences in abelian GLSMs,” arXiv: 0709.3855
Cited in the paper.
J. Distler, R. Plesser, private communication
Cited in the paper.
E. Andreini, Y. Jiang, H.-H. Tseng, “On Gromov-Witten theory of root gerbes,” arXiv: 0812.4477
Cited in the paper.
E. Andreini, Y. Jiang, H.-H. Tseng, “Gromov-Witten theory of product stacks,” arXiv: 0905.2258
Cited in the paper.
A. Kuznetsov, “Derived categories of quadric fibrations and intersections of quadrics,” Adv. Math. 218
2008
Later among the works it cites.
E. Andreini, Y. Jiang, H.-H. Tseng, “Gromov-Witten theory of etale gerbes, i: root gerbes,” arXiv: 0907.2087
2087
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