Consistent Orientation of Moduli Spaces

D. S. Freed, M. J. Hopkins, and C. Teleman, Loop groups and twisted K K -theory I , arXiv:0711.1906

Original

1906

Earlier work this paper cites.

D. W. Anderson, The real K K -theory of classifying spaces , Proc. Nat. Acad. Sci. 51

1964

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M. F. Atiyah and R. Bott, The index problem for manifolds with boundary , Differential Analysis, Bombay Colloq., 1964, Oxford Univ. Press, London, 1964, pp. 175–186

1964

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M. F. Atiyah, K K -theory and reality , Quart. J. Math. Oxford Ser. (2) 17

1966

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P. Donovan and M. Karoubi, Graded Brauer groups and K K -theory with local coefficients , Inst. Hautes Études Sci. Publ. Math. (1970), no. 38, 5–25

1970

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M. F. Atiyah and I. M. Singer, The index of elliptic operators. V , Ann. of Math. (2) 93

1971

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by same author, K K -homology theory and algebraic K K -theory , K K -theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975), Springer, Berlin, 1977, pp. 113–127. Lecture Notes in Math., Vol. 575

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S. K. Donaldson, The orientation of Yang-Mills moduli spaces and 4 4 -manifold topology , J. Differential Geom. 26

1987

Cited alongside, same era.

S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds , Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1990, Oxford Science Publications

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M. Kontsevich and Yu. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry , Comm. Math. Phys. 164

1994

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Peter B. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem , second ed., Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995

1995

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Lowell Abrams, Two-dimensional topological quantum field theories and Frobenius algebras , J. Knot Theory Ramifications 5

1996

Nigel Hitchin, Lectures on special Lagrangian submanifolds , Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999), AMS/IP Stud. Adv. Math., vol. 23, Amer. Math. Soc., Providence, RI, 2001, pp. 151–182, arXiv:math/9907034

2001

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Ib Madsen and Ulrike Tillmann, The stable mapping class group and Q ⁡ ( ℂ ​ ℙ + ∞ ) Q(\mathbb{C}\mathbb{P}^{\infty}_{+}) , Invent. Math. 145

2001

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Ib Madsen and Michael Weiss, The stable mapping class group and stable homotopy theory , European Congress of Mathematics, Eur. Math. Soc., Zürich, 2005, pp. 283–307

2005

Later among the works it cites.

Michael Atiyah and Graeme Segal, Twisted K K -theory and cohomology , Inspired by S. S. Chern, Nankai Tracts Math., vol. 11, World Sci. Publ., Hackensack, NJ, 2006, pp. 5–43, arXiv:math/0510674

2006

Later among the works it cites.