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We lay the foundation for a version of $r$-spin theory in genus zero for Riemann surfaces with boundary.
Geometry of the moduli of higher spin curves
T. J. Jarvis · 2000
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Gravitational descendants and the moduli space of higher spin curves
T. J. Jarvis, T. Kimura, and A. Vaintrob · 2001
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Moduli spaces of higher spin curves and integrable hierarchies
T. J. Jarvis, T. Kimura, and A. Vaintrob · 2001
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Algebraic construction of Witten’s top Chern class
A. Polishchuk and A. Vaintrob · 2001
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Compactifying the space of stable maps
D. Abramovich and A. Vistoli · 2002
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Group actions on stacks and applications
M. Romagny · 2005
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The Witten top Chern class via K-theory
A. Chiodo · 2006
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The virtual class of the moduli stack of stable r r -spin curves
T. Mochizuki · 2006
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Stable twisted curves and their r r -spin structures
A. Chiodo · 2008
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Twisted r r -spin potential and Givental’s quantization
A. Chiodo and D. Zvonkine · 2009
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Lagrangian intersection Floer theory: anomaly and obstruction. Part I
K. Fukaya, Y.-G. Oh, H. Ohta, and K. Ono · 2009
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Landau–Ginzburg/Calabi–Yau correspondence for quintic three-folds via symplectic transformations
A. Chiodo and Y. Ruan · 2010
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Tautological relations and the r r -spin Witten conjecture
C. Faber, S. Shadrin, and D. Zvonkine · 2010
Cited alongside, same era.
Towards global mirror symmetry
A. Chiodo · 2011
Cited alongside, same era.
On manifolds with corners
D. Joyce · 2012
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Relations on M ¯ g , n \overline{M}_{g,n} via 3 3 -spin structures
R. Pandharipande, A. Pixton, and D. Zvonkine · 2015
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The combinatorial formula for open gravitational descendents
R. J. Tessler · 2015
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Open intersection numbers and the wave function of the KdV hierarchy
A. Buryak · 2016
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Matrix models and a proof of the open analog of Witten’s conjecture
A. Buryak and R. J. Tessler · 2017
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Moduli of Open Stable Maps to a Homogeneous Space
A. Netser Zernik · 2017
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A mathematical theory of the gauged linear sigma model
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The Witten equation, mirror symmetry and quantum singularity theory
H. Fan, T. J. Jarvis, and Y. Ruan · 2013
Cited alongside, same era.
Intersection theory on moduli of disks, open KdV and Virasoro
R. Pandharipande, J. P. Solomon, and R. J. Tessler · 2014
Cited alongside, same era.
Witten’s top Chern class via cosection localization
H.-L. Chang, J. Li, and W.-P. Li · 2015
Cited alongside, same era.
Moduli of J-holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an S 1 S^{1} -Equivariant Pair
C.-C. M. Liu
Cited in the paper.
Intersection Theory on the Moduli Space of Graded Riemann Surfaces with Boundary
J. P. Solomon and R. J. Tessler
Cited in the paper.
H. Fan, T. J. Jarvis, and Y. Ruan · 2018
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Closed extended r r -spin theory and the Gelfand–Dickey wave function
A. Buryak, E. Clader, and R. J. Tessler · 2019
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Open r r -spin theory II: The analogue of Witten’s conjecture for r r -spin disks, 2020
A. Buryak, E. Clader, and R. J. Tessler · 2020
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