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The Equivariant Hirzebruch–Riemann–Roch Theorem and the Geometry of Derived Loop Spaces

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References

  1. G. Kondyrev and A. Prikhodko, Equivariant Grothendieck–Riemann–Roch Theorem Via Formal Deformation Theory, arXiv: 1906.00172(2019).

  2. P. Donovan, Bull. Soc. Math. France 97, 257 (1969).

    Article  MathSciNet  Google Scholar 

  3. N. Markarian, J. London Math. Soc. (2) 79(1), 129 (2008).

    Article  Google Scholar 

  4. G. Kondyrev and A. Prikhodko, J. Inst. Math. Jussieu (2018).

  5. D. Gaitsgory and N. Rozenblyum, A Study in Derived Algebraic Geometry Vol. I. Correspondences and Duality (Amer. Math. Soc., Providence, RI, 2017).

    Book  Google Scholar 

  6. D. Gaitsgory and N. Rozenblyum, A Study in Derived Algebraic Geometry Vol. I. Deformations, Lie Theory and Formal Geometry (Amer. Math. Soc., Providence, RI, 2017).

    Book  Google Scholar 

  7. B. Hennion, J. Reine Angew. Math. 741, 1 (2018).

    Article  MathSciNet  Google Scholar 

  8. D. Arinkin, A. Caldararu, and M. Hablicsek, Formality of Derived Intersections and the Orbifold HKR Isomorphism, arXiv: 1412.5233(2014).

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Funding

The author’s research was supported in part by the Laboratory of Mirror Symmetry of the Higher School of Economics under grant 14.641.31.0001.

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Correspondence to A. N. Prikhod’ko.

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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 6, pp. 940–944.

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Prikhod’ko, A.N. The Equivariant Hirzebruch–Riemann–Roch Theorem and the Geometry of Derived Loop Spaces. Math Notes 107, 1029–1033 (2020). https://doi.org/10.1134/S0001434620050351

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  • DOI: https://doi.org/10.1134/S0001434620050351

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