{"id":89,"date":"2020-08-15T05:01:19","date_gmt":"2020-08-15T05:01:19","guid":{"rendered":"http:\/\/hoalg.net\/chrisrogers\/?page_id=89"},"modified":"2025-12-16T04:02:49","modified_gmt":"2025-12-16T04:02:49","slug":"publications","status":"publish","type":"page","link":"https:\/\/hoalg.net\/chrisrogers\/publications\/","title":{"rendered":"publications"},"content":{"rendered":"\n\n
    \n
  1. \nHigher differentiation via higher formal groupoids<\/i>
    \n

    \nSubmitted for publication (2025)
    \narXiv preprint<\/a>    93 pages <\/p>\n<\/li>\n

  2. \nLie\u2019s Third Theorem for Lie \"\infty\"-algebras <\/i>   with Jesse Wolfson
    \n

    \nSubmitted for publication (2024)
    \n    arXiv preprint<\/a>    88 pages <\/p>\n<\/li>\n

  3. \nOn the Goldman-Millson theorem for \"A_\infty\"-algebras in arbitrary characteristic<\/i>  with Alex Milham
    \n

    \nJournal of Algebra<\/strong> vol. 632 (2023) 384–425
    \n    arXiv preprint<\/a>    42 pages <\/p>\n<\/li>\n\n

  4. \nComplete filtered \"L_\infty\"-algebras and their homotopy theory<\/i>
    \n

    \nJournal of Pure and Applied Algebra<\/strong> vol. 227 (2023) Paper No. 107403
    arXiv preprint<\/a>    47 pages <\/p>\n<\/li>\n\n

  5. \nWhich homotopy algebras come from transfer?<\/i>  with Martin Markl
    \n

    \nProceedings of the American Mathematical Society<\/strong> vol. 150 (2022) 975–990
    \n    arXiv preprint<\/a>    15 pages <\/p>\n<\/li>\n\n

  6. \nAn explicit model for the homotopy theory for finite type Lie \"n\"-algebras<\/i>
    \n

    \nAlgebraic and Geometric Topology<\/strong> vol. 20 (2020) 1371-1429
    \n    arXiv preprint<\/a>    59 pages <\/p>\n<\/li>\n\n

  7. \nOn the homotopy theory for Lie \"\infty\"-groupoids, with an application to integrating \"L_\infty\"-algebras<\/i>  with Chenchang Zhu
    \n

    \nAlgebraic and Geometric Topology<\/strong> vol. 20 (2020) 1127-1219
    \n    arXiv preprint<\/a>    93 pages <\/p>\n<\/li>\n\n

  8. \nThe cohomology of the full directed graph complex<\/i>  with Vasily Dolgushev
    \n

    \nAlgebras and Representation Theory<\/strong> vol. 23 (2020) 917-961
    \n    arXiv preprint<\/a>    45 pages <\/p>\n<\/li>\n\n

  9. \nHomotopical properties of the simplicial Maurer–Cartan functor<\/i>
    \n

    \nIn MATRIX Annals, MATRIX Book Series 1<\/strong>
    \nD. Wood, J. de Gier, C. Praeger, T. Tao (Eds.) Springer Berlin 2018
    \n    arXiv preprint<\/a>    12 pages <\/p>\n<\/li>\n\n

  10. \nOn an enhancement of the category of shifted \"L_\infty\"-algebras<\/i>  with Vasily Dolgushev
    \n

    \nApplied Categorical Structures<\/strong> vol. 25 (2017) 489-503
    \n    arXiv preprint<\/a>    15 pages <\/p>\n<\/li>\n\n

  11. \nHomotopy moment maps<\/i>  with Martin Callies, Ya\u00ebl Fr\u00e9gier and Marco Zambon
    \n

    \nAdvances in Mathematics<\/strong> vol. 303 (2016) 954-1043
    \n    arXiv preprint<\/a>    90 pages <\/p>\n<\/li>\n\n

  12. \nHigher \"U(1)\"-gerbe connections in geometric prequantization<\/i>  with Domenico Fiorenza, and Urs Schreiber
    \n

    \nReviews in Mathematical Physics<\/strong> vol. 28 (2016) 1650012-1-1650012-72
    \n    arXiv preprint<\/a>    73 pages <\/p>\n<\/li>\n\n

  13. \nKontsevich’s graph complex, \"\mathrm{GRT}\", and the deformation complex of the sheaf of polyvector fields\n<\/i>  with Vasily Dolgushev and Thomas Willwacher
    \n

    \nAnnals of Mathematics<\/strong> vol. 182 (2015) 855-943
    \n    arXiv preprint<\/a>    89 pages <\/p>\n<\/li>\n\n

  14. \nWhat do homotopy algebras form?<\/i>  with Vasily Dolgushev and Alex Hoffnung
    \n

    \nAdvances in Mathematics<\/strong> vol. 274 (2015) 562-605
    \n    arXiv preprint<\/a>    44 pages <\/p>\n<\/li>\n\n

  15. \nA version of the Goldman-Millson Theorem for filtered \"L_{\infty}\"-algebras<\/i>  with Vasily Dolgushev
    \n

    \nJournal of Algebra<\/strong> vol. 430 (2015) 260-302
    \n    arXiv preprint<\/a>    43 pages <\/p>\n<\/li>\n\n

  16. \n\"L_{\infty}\"-algebras of local observables from higher prequantum bundles<\/i>  with Domenico Fiorenza and Urs Schreiber
    \n

    \nHomology, Homotopy and Applications<\/strong> vol. 16 (2014) 107-142
    \n    arXiv preprint<\/a>    36 pages <\/p>\n<\/li>\n\n

  17. \n2-plectic geometry, Courant algebroids, and categorified prequantization<\/i>
    \n

    \nJournal of Symplectic Geometry<\/strong> vol. 11 (2013) 53-91
    \n    arXiv preprint<\/a>    39 pages <\/p>\n<\/li>\n\n

  18. \nA higher Chern-Weil derivation of AKSZ sigma-models<\/i>  with Domenico Fiorenza and Urs Schreiber
    \n

    \nInternational Journal of Geometric Methods in Modern Physics<\/strong> vol. 10 (2013) 1250078-1-1250078-36
    \n    arXiv preprint<\/a>    37 pages <\/p>\n<\/li>\n\n

  19. \nNotes on algebraic operads, graph complexes, and Willwacher’s construction<\/i>  with Vasily Dolgushev
    \n

    \nContemporary Mathematics<\/strong> vol. 583 (2012) 25-146
    \n    arXiv preprint<\/a>    122 pages <\/p>\n<\/li>\n\n

  20. \n\"L_{\infty}\"-algebras from multisymplectic geometry<\/i>
    \n

    \nLetters in Mathematical Physics<\/strong> vol. 100 (2012) 29-50
    \n    arXiv preprint<\/a>    22 pages <\/p>\n<\/li>\n\n

  21. \nCategorified symplectic geometry and the string Lie 2-algebra<\/i>  with John Baez
    \n

    \nHomology, Homotopy and Applications<\/strong> vol. 12 (2010) 221-236
    \n    arXiv preprint<\/a>    16 pages <\/p>\n<\/li>\n\n

  22. \nCategorified symplectic geometry and the classical string<\/i>  with John Baez and Alex Hoffnung
    \n

    \nCommunications in Mathematical Physics<\/strong> vol. 293 (2010) 701-725
    \n    arXiv preprint<\/a>    25 pages <\/p>\n<\/li>\n\n\n\n<\/ol>\n\n\n\n

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