Geodesic
Derived Sections, Factorization Algebras, and Deligne Conjecture
Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 291-295

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: homotopical algebra, model category, Reedy model structures, Grothendieck fibration, factorization algebra, operator category, Deligne conjecture. 
È. R. Balzin. Derived Sections, Factorization Algebras, and Deligne Conjecture. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 291-295. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a9/
@article{MZM_2016_100_2_a9,
     author = {\`E. R. Balzin},
     title = {Derived {Sections,} {Factorization} {Algebras,} and {Deligne} {Conjecture}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {291--295},
     year = {2016},
     volume = {100},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a9/}
}
TY  - JOUR
AU  - È. R. Balzin
TI  - Derived Sections, Factorization Algebras, and Deligne Conjecture
JO  - Matematičeskie zametki
PY  - 2016
SP  - 291
EP  - 295
VL  - 100
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a9/
LA  - ru
ID  - MZM_2016_100_2_a9
ER  - 
%0 Journal Article
%A È. R. Balzin
%T Derived Sections, Factorization Algebras, and Deligne Conjecture
%J Matematičeskie zametki
%D 2016
%P 291-295
%V 100
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a9/
%G ru
%F MZM_2016_100_2_a9

[1] J. F. Adams, Infinite Loop Spaces, Ann. of Math. Stud., 90, Princeton Univ. Press, Princeton, NJ, 1978 | MR | Zbl

[2] J. P. May, The Geometry of Iterated Loop Spaces, Lectures Notes in Math., 271, Springer-Verlag, Berlin, 1972 | DOI | MR | Zbl

[3] G. Segal, Categories and Cohomology Theories, Topology, 13, 1974 | MR | Zbl

[4] S. Mac Lane, Categories for The Working Mathematician, Graduate Texts in Math., 5, Springer-Verlag, New York, 1998 | MR | Zbl

[5] T. Leinster, Higher Operads, Higher Categories, London Math. Soc. Lecture Note Ser., 298, Cambridge Univ. Press, Cambridge, 2004 | MR | Zbl

[6] D. Quillen, Higher $K$-Theories, Lecture Notes in Math., 341, Springer-Verlag, Berlin, 1973, 85–147 | DOI | MR | Zbl

[7] W. G. Dwyer, Ph. S. Hirschhorn, D. M. Kan, J. H. Smith, Homotopy Limit Functors on Model Categories and Homotopical Categories, Math. Surveys Monogr., 113, Amer. Math. Soc., Providence, RI, 2004 | MR | Zbl

[8] M. Hovey, Model Categories, Math. Surveys Monogr., 63, Amer. Math. Soc., Providence, RI, 1999 | MR | Zbl

[9] J. E. McClure, J. H. Smith, Recent Progress in Homotopy Theory, Contemp. Math., 293, Amer. Math. Soc., Providence, RI, 2002, 153–193. | MR | Zbl

[10] Dmitry E. Tamarkin, Another Proof of M. Kontsevich Formality Theorem, 1998, arXiv: math.QA/9803025

[11] K. Costello, Adv. Math., 210:1 (2007), 165–214 | MR | Zbl

[12] C. Barwick, From Operator Categories to Topological Operads, 2013, arXiv: 1302.5756

[13] Revêtements étales et groupe fondamental, Lecture Notes in Math., 224, Springer-Verlag, Berlin, 1971 | DOI | MR | Zbl

[14] J. Lurie, Higher Algebra, 2016 http://www.math.harvard.edu/~lurie/papers/HA.pdf

[15] E. Balzin, Derived Sections of Grothendieck Fibrations and the Problems of Homotopical Algebra, 2015, arXiv: 1410.3387

[16] E. Balzin, UMN, 69:5 (419) (2014), 159–160 | DOI | MR | Zbl

[17] A. K. Bousfield, D. M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Math., 304, Springer-Verlag, Berlin, 1972 | DOI | MR | Zbl

[18] D. G. Quillen, Homotopical Algebra, Lecture Notes in Math., 43, Springer-Verlag, Berlin, 1967 | DOI | MR | Zbl

[19] T. Woolf, The Fundamental Category of a Stratified Space, 2013, arXiv: 0811.2580

[20] A. Beilinson, V. Drinfeld, Chiral Algebras, Amer. Math. Soc. Colloq. Publ., 51, Amer. Math. Soc., Providence, RI, 2004 | MR | Zbl

[21] M. Kontsevich, Y. Soibelman, Homological Mirror Symmetry, Lecture Notes in Phys., 757, Springer-Verlag, Berlin, 2008, 1–67 | DOI

[22] D. Kaledin, Homological Methods in Non-commutative Geometry, Lecture Notes, University of Tokyo, Tokyo, 2008

[23] D. Kaledin, Non-Commutative Geometry from the Homological Point of View, Lecture Notes, KIAS, Seoul, 2009