Fetching the paper…
Reading the bibliography…
Recently, at least 50 million of novel examples of compact $G_2$ holonomy manifolds have been constructed as twisted connected sums of asymptotically cylindrical Calabi-Yau threefolds.
A. Corti, M. Haskins, J. Nordström, and T. Pacini, “Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds,” Geom. Topol
1955
Earlier work this paper cites.
V. V. Nikulin, “Integer symmetric bilinear forms and some of their geometric applications,” Izv. Akad. Nauk SSSR Ser. Mat
1979
Earlier work this paper cites.
R. Harvey and H. B. Lawson, Jr., “Calibrated geometries,” Acta Math
1982
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
V. I. Danilov and A. G. Khovanskii, “Newton polyhedra and an algorithm for calculating Hodge-Deligne numbers,” Izv. Akad. Nauk SSSR Ser. Mat
1986
Earlier work this paper cites.
W. Lerche, C. Vafa, and N. P. Warner, “Chiral Rings in N=2 Superconformal Theories,” Nucl. Phys
1989
Earlier work this paper cites.
S. Odake, “Extension of N = 2 N=2 Superconformal Algebra and Calabi-yau Compactification,” Mod. Phys. Lett
1989
Earlier work this paper cites.
P. Candelas, M. Lynker, and R. Schimmrigk, “Calabi-Yau Manifolds in Weighted P(4),” Nucl. Phys
1990
Earlier work this paper cites.
B. R. Greene and M. R. Plesser, “Duality in Calabi-Yau Moduli Space,” Nucl. Phys
1990
Earlier work this paper cites.
P. Candelas, T. Hubsch, and R. Schimmrigk, “Relation Between the Weil-petersson and Zamolodchikov Metrics,” Nucl. Phys
1990
Earlier work this paper cites.
P. S. Howe and G. Papadopoulos, “W symmetries of a class of d = 2 N=1 supersymmetric sigma models,” Phys. Lett
1991
Earlier work this paper cites.
P. S. Howe and G. Papadopoulos, “A Note on holonomy groups and sigma models,” Phys. Lett
1991
Earlier work this paper cites.
P. S. Aspinwall and C. A. Lutken, “Quantum algebraic geometry of superstring compactifications,” Nucl. Phys
1991
Earlier work this paper cites.
P. S. Howe and G. Papadopoulos, “Holonomy groups and W symmetries,” Commun. Math. Phys
1993
Earlier work this paper cites.
E. Witten, “Phases of N=2 theories in two-dimensions,” Nucl. Phys
1993
Earlier work this paper cites.
P. S. Howe, G. Papadopoulos, and P. C. West, “Free fermions and extended conformal algebras,” Phys. Lett
1994
Earlier work this paper cites.
V. V. Batyrev, “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties,” J. Alg. Geom
1994
Earlier work this paper cites.
Birkhaeuser Boston, 1994
I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants · 1994
Cited alongside, same era.
A. Strominger, “Massless black holes and conifolds in string theory,” Nucl. Phys
1995
Cited alongside, same era.
P. S. Aspinwall and D. R. Morrison, “U duality and integral structures,” Phys. Lett
1995
Cited alongside, same era.
S. L. Shatashvili and C. Vafa, “Superstrings and manifold of exceptional holonomy,” Selecta Math
1995
Cited alongside, same era.
G. Papadopoulos and P. K. Townsend, “Compactification of D = 11 supergravity on spaces of exceptional holonomy,” Phys. Lett
1995
Cited alongside, same era.
A. Klemm, W. Lerche, and P. Mayr, “K3 Fibrations and heterotic type II string duality,” Phys. Lett
S. Gukov and D. Tong, “D-brane probes of special holonomy manifolds, and dynamics of N = 1 three-dimensional gauge theories,” JHEP
2002
Later among the works it cites.
M. Kreuzer and H. Skarke, “Reflexive polyhedra, weights and toric Calabi-Yau fibrations,” Rev. Math. Phys
2002
Later among the works it cites.
R. Roiban, C. Romelsberger, and J. Walcher, “Discrete torsion in singular G(2) manifolds and real LG,” Adv. Theor. Math. Phys
2003
Later among the works it cites.
A. Kovalev, “Twisted connected sums and special Riemannian holonomy,” J. Reine Angew. Math
2003
Later among the works it cites.
M. Atiyah and E. Witten, “M theory dynamics on a manifold of G(2) holonomy,” Adv. Theor. Math. Phys
2003
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1995
Cited alongside, same era.
D. R. Morrison, “Mirror symmetry and the type II string,” Nucl. Phys. Proc. Suppl
1996
Cited alongside, same era.
A. Strominger, S.-T. Yau, and E. Zaslow, “Mirror symmetry is T duality,” Nucl. Phys
1996
Cited alongside, same era.
K. Becker, M. Becker, D. R. Morrison, H. Ooguri, Y. Oz, and Z. Yin, “Supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4 folds,” Nucl. Phys
1996
Cited alongside, same era.
R. C. Mclean, “Deformations of calibrated submanifolds,” Commun. Analy. Geom
1996
Cited alongside, same era.
I. V. Dolgachev, “Mirror symmetry for lattice polarized K 3 K3 surfaces,” J. Math. Sci
1996
Cited alongside, same era.
B. S. Acharya, “Dirichlet Joyce manifolds, discrete torsion and duality,” Nucl. Phys
1997
Cited alongside, same era.
2003
Later among the works it cites.
M. R. Gaberdiel and P. Kaste, “Generalized discrete torsion and mirror symmetry for g(2) manifolds,” JHEP
2004
Later among the works it cites.
B. S. Acharya and S. Gukov, “M theory and singularities of exceptional holonomy manifolds,” Phys. Rept
2004
Later among the works it cites.
J. de Boer, A. Naqvi, and A. Shomer, “The Topological G(2) string,” Adv. Theor. Math. Phys
2008
Later among the works it cites.
2012
Later among the works it cites.
2013
Later among the works it cites.
2015
Later among the works it cites.
The Sage Development Team, 2015
W. Stein et al · 2015
Later among the works it cites.
J. Halverson and D. R. Morrison, “On gauge enhancement and singular limits in G 2
2016
Later among the works it cites.
2016
Later among the works it cites.