References
J. F. Adams, Infinite Loop Spaces, in Ann. of Math. Stud. (Princeton Univ. Press, Princeton, NJ, 1978), Vol. 90.
J. P. May, The Geometry of Iterated Loop Spaces, in Lectures Notes in Math. (Springer-Verlag, Berlin, 1972), Vol. 271.
G. Segal, Categories and Cohomology Theories, in Topology (1974), Vol. 13, pp. 293–312.
S. Mac Lane, Categories for theWorkingMathematician, in Graduate Texts inMath. (Springer-Verlag, New York, 1998), Vol. 5.
T. Leinster, Higher Operads, Higher Categories, in London Math. Soc. Lecture Note Ser. (Cambridge Univ. Press, Cambridge, 2004), Vol. 298.
D. Quillen, in Lecture Notes in Math., Vol. 341: Higher K-Theories (Springer-Verlag, Berlin, 1973), pp. 85–147.
W. G. Dwyer, Ph. S. Hirschhorn, D. M. Kan, and J. H. Smith, Homotopy Limit Functors on Model Categories and Homotopical Categories, in Math. Surveys Monogr. (Amer. Math. Soc., Providence, RI, 2004), Vol. 113.
M. Hovey, Model Categories, in Math. Surveys Monogr. (Amer. Math. Soc., Providence, RI, 1999), Vol. 63.
J. E. McClure and J. H. Smith, in Recent Progress in Homotopy Theory, Contemp. Math. (Amer. Math. Soc., Providence, RI, 2002), Vol. 293, pp. 153–193.
D. E. Tamarkin, Another Proof of M. Kontsevich Formality Theorem, arXiv: math. QA/9803025 (1998).
K. Costello, Adv. Math. 210 (1), 165 (2007).
C. Barwick, From Operator Categories to Topological Operads, arXiv: 1302.5756 (2013).
Revetements é tales et groupe fondamental, in Lecture Notes in Math. (Springer-Verlag, Berlin, 1971), Vol. 224.
J. Lurie, Higher Algebra (2016), http://www. math. harvard. edu/~lurie/papers/H A. pdf.
E. Balzin, Derived Sections of Grothendieck Fibrations and the Problems of Homotopical Algebra, arXiv: 1410.3387 (2015).
E. R. Balzin, Uspekhi Mat. Nauk 69 (5 (419)), 159 (2014) [RussianMath. Surveys 69 (5), 918 (2014)].
A. K. Bousfield and D. M. Kan, Homotopy Limits, Completions, and Localizations, in Lecture Notes in Math. (Springer-Verlag, Berlin, 1972), Vol. 304.
D. G. Quillen, Homotopical Algebra, in Lecture Notes in Math. (Springer-Verlag, Berlin, 1967), Vol. 43.
T. Woolf, The Fundamental Category of a Stratified Space, arXiv: 0811.2580 (2013).
A. Beilinson and V. Drinfeld, Chiral Algebras, in Amer. Math. Soc. Colloq. Publ. (Amer. Math. Soc., Providence, RI, 2004), Vol. 51.
M. Kontsevich and Y. Soibelman, in Homological Mirror Symmetry, Lecture Notes in Phys. (Springer-Verlag, Berlin, 2008), Vol. 757, pp. 1–67.
D. Kaledin, Homological Methods in Non-Commutative Geometry, Lecture Notes (University of Tokyo, Tokyo, 2008).
D. Kaledin, Non-Commutative Geometry from the Homological Point of View, Lecture Notes (KIAS, Seoul, 2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E. R. Balzin, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 2, pp. 291–295.
Rights and permissions
About this article
Cite this article
Balzin, E.R. Derived sections, factorization algebras, and Deligne conjecture. Math Notes 100, 313–317 (2016). https://doi.org/10.1134/S0001434616070270
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434616070270