Volume 19, issue 1 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
$E_2$ structures and derived Koszul duality in string topology

Andrew J Blumberg and Michael A Mandell

Algebraic & Geometric Topology 19 (2019) 239–279
Bibliography
1 A Abbondandolo, M Schwarz, Floer homology of cotangent bundles and the loop product, Geom. Topol. 14 (2010) 1569 MR2679580
2 M Abouzaid, On the wrapped Fukaya category and based loops, J. Symplectic Geom. 10 (2012) 27 MR2904032
3 C Berger, B Fresse, Combinatorial operad actions on cochains, Math. Proc. Cambridge Philos. Soc. 137 (2004) 135 MR2075046
4 A J Blumberg, R L Cohen, C Teleman, Open-closed field theories, string topology, and Hochschild homology, from: "Alpine perspectives on algebraic topology" (editors C Ausoni, K Hess, J Scherer), Contemp. Math. 504, Amer. Math. Soc. (2009) 53 MR2581905
5 A J Blumberg, D Gepner, G Tabuada, A universal characterization of higher algebraic K–theory, Geom. Topol. 17 (2013) 733 MR3070515
6 A J Blumberg, M A Mandell, Derived Koszul duality and involutions in the algebraic K–theory of spaces, J. Topol. 4 (2011) 327 MR2805994
7 A J Blumberg, M A Mandell, Localization theorems in topological Hochschild homology and topological cyclic homology, Geom. Topol. 16 (2012) 1053 MR2928988
8 R L Cohen, J D S Jones, A homotopy theoretic realization of string topology, Math. Ann. 324 (2002) 773 MR1942249
9 W G Dwyer, J P C Greenlees, S Iyengar, Duality in algebra and topology, Adv. Math. 200 (2006) 357 MR2200850
10 Y Félix, L Menichi, J C Thomas, Gerstenhaber duality in Hochschild cohomology, J. Pure Appl. Algebra 199 (2005) 43 MR2134291
11 M Gerstenhaber, A A Voronov, Homotopy G–algebras and moduli space operad, Int. Math. Res. Not. (1995) 141 MR1321701
12 B Keller, Derived invariance of higher structures on the hochschild complex, preprint (2004)
13 B Keller, Hochschild cohomology and derived Picard groups, J. Pure Appl. Algebra 190 (2004) 177 MR2043327
14 M Kontsevich, Y Soibelman, Deformations of algebras over operads and the Deligne conjecture, from: "Conférence Moshé Flato, I" (editors G Dito, D Sternheimer), Math. Phys. Stud. 21, Kluwer Acad. (2000) 255 MR1805894
15 L G Lewis Jr., M A Mandell, Modules in monoidal model categories, J. Pure Appl. Algebra 210 (2007) 395 MR2320005
16 Z Lindsey, Localization of quasicategories with a calculus of right fractions, PhD thesis, Indiana University (2018)
17 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
18 J Lurie, Higher algebra, book project (2017)
19 S MacLane, Categories for the working mathematician, 5, Springer (1971) MR0354798
20 E J Malm, String topology and the based loop space, PhD thesis, Stanford University (2010)
21 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
22 J P May, J Sigurdsson, Parametrized homotopy theory, 132, Amer. Math. Soc. (2006) MR2271789
23 J E McClure, J H Smith, A solution of Deligne’s Hochschild cohomology conjecture, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 153 MR1890736
24 J E McClure, J H Smith, Cosimplicial objects and little n–cubes, I, Amer. J. Math. 126 (2004) 1109 MR2089084
25 E Riehl, Categorical homotopy theory, 24, Cambridge Univ. Press (2014) MR3221774
26 S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
27 S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
28 P Seidel, Fukaya categories and deformations, from: "Proceedings of the International Congress of Mathematicians, II" (editor L Tatsien), Higher Ed. (2002) 351 MR1957046
29 W Steimle, Degeneracies in quasi-categories, J. Homotopy Relat. Struct. 13 (2018) 703 MR3870770
30 D E Tamarkin, Formality of chain operad of little discs, Lett. Math. Phys. 66 (2003) 65 MR2064592
31 A A Voronov, Homotopy Gerstenhaber algebras, from: "Conférence Moshé Flato, II" (editors G Dito, D Sternheimer), Math. Phys. Stud. 22, Kluwer Acad. (2000) 307 MR1805923
32 J Young, On the E2 structure of cochains, PhD thesis, Indiana University (2012)