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We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism.
1908
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E. Witten and K. Yonekura, “Anomaly Inflow and the η \eta -Invariant,” arXiv:1909.08775 [hep-th]
1909
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1910
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1910
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1911
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J.-P. Serre, “Cohomologie modulo 2 des complexes d’eilenberg-maclane,” Commentarii Mathematici Helvetici
1953
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J. F. Adams, “On the structure and applications of the steenrod algebra,” Commentarii Mathematici Helvetici
1958
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J. F. Adams, “On the non-existence of elements of hopf invariant one,” Annals of Mathematics
1960
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M. Atiyah, V. Patodi, and I. Singer, “Spectral asymmetry and Riemannian Geometry 1,” Math. Proc. Cambridge Phil. Soc
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M. Atiyah, V. Patodi, and I. Singer, “Spectral asymmetry and Riemannian geometry 2,” Math. Proc. Cambridge Phil. Soc
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M. Atiyah, V. Patodi, and I. Singer, “Spectral asymmetry and Riemannian geometry. III,” Math. Proc. Cambridge Phil. Soc
1976
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1981
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E. Witten, “An SU(2) Anomaly,” Phys. Lett. B
1982
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E. Witten, “Global aspects of current algebra,” Nuclear Physics B
1983
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S. Elitzur and V. Nair, “Nonperturbative Anomalies in Higher Dimensions,” Nucl. Phys. B
1984
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E. Witten, “Global Gravitational Anomalies,” Commun. Math. Phys
1985
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E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys
1989
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WORLD SCIENTIFIC, 1989
P. B. Gilkey, The Geometry of Spherical Space Form Groups · 1989
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1992
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J. Davighi and N. Lohitsiri, “Omega vs. pi, and 6d anomaly cancellation,” arXiv:2012.11693 [hep-th]
2012
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2012
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S. Ryu and S.-C. Zhang, “Interacting topological phases and modular invariance,” Phys. Rev. B
2012
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2014
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1996
Cited alongside, same era.
M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiberg, and E. Witten, “Anomalies, dualities, and topology of D = 6 N=1 superstring vacua,” Nucl. Phys. B
1996
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Springer Netherlands, 1996
P. B. Gilkey and B. Botvinnik, “The eta invariant and the equivariant spin bordism of spherical space form 2 groups,” in New Developments in Differential Geometry · 1996
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K. A. Intriligator, D. R. Morrison, and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
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Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2 ed., 2000
J. McCleary, A User’s Guide to Spectral Sequences · 2000
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X.-z. Dai and D. S. Freed, “eta invariants and determinant lines,” J. Math. Phys
2001
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J. Davighi and N. Lohitsiri, “Anomaly interplay in U ( 2 ) U(2) gauge theories,” JHEP
2001
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2014
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S. Monnier, “Hamiltonian anomalies from extended field theories,” Commun. Math. Phys
2015
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E. Witten, “Fermion Path Integrals and Topological Phases,” Rev. Mod. Phys
2016
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E. Witten, “The “Parity” Anomaly on an Unorientable Manifold,” Phys. Rev
2016
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K. Yonekura, “Dai-Freed theorem and topological phases of matter,” JHEP
2016
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2017
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A. Beaudry and J. A. Campbell, “A guide for computing stable homotopy groups,” Top. Quant. Theor. Interact
2018
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I. García-Etxebarria and M. Montero, “Dai-Freed anomalies in particle physics,” JHEP
2019
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2019
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J. Wang, X.-G. Wen, and E. Witten, “A New SU(2) Anomaly,” J. Math. Phys
2019
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2019
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2019
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2019
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