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

Volume 25, 1 issue

Volume 24, 9 issues

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
A model for configuration spaces of points

Ricardo Campos and Thomas Willwacher

Algebraic & Geometric Topology 23 (2023) 2029–2106
Bibliography
1 M Alexandrov, A Schwarz, O Zaboronsky, M Kontsevich, The geometry of the master equation and topological quantum field theory, Internat. J. Modern Phys. A 12 (1997) 1405 MR1432574
2 S Axelrod, I M Singer, Chern–Simons perturbation theory, II, J. Differential Geom. 39 (1994) 173 MR1258919
3 D Ayala, J Francis, Factorization homology of topological manifolds, J. Topol. 8 (2015) 1045 MR3431668
4 M Bendersky, S Gitler, The cohomology of certain function spaces, Trans. Amer. Math. Soc. 326 (1991) 423 MR1010881
5 J Bochnak, M Coste, M F Roy, Real algebraic geometry, 36, Springer (1998) MR1659509
6 F Bonechi, A S Cattaneo, P Mnev, The Poisson sigma model on closed surfaces, J. High Energy Phys. (2012) 099 MR2949286
7 R Bott, A S Cattaneo, Integral invariants of 3–manifolds, J. Differential Geom. 48 (1998) 91 MR1622602
8 R Bott, L W Tu, Differential forms in algebraic topology, 82, Springer (1982) MR658304
9 P Boavida de Brito, M Weiss, Manifold calculus and homotopy sheaves, Homology Homotopy Appl. 15 (2013) 361 MR3138384
10 P Boavida de Brito, M Weiss, Spaces of smooth embeddings and configuration categories, J. Topol. 11 (2018) 65 MR3784227
11 R Campos, BV formality, Adv. Math. 306 (2017) 807 MR3581318
12 A S Cattaneo, G Felder, Effective Batalin–Vilkovisky theories, equivariant configuration spaces and cyclic chains, from: "Higher structures in geometry and physics" (editors A S Cattaneo, A Giaquinto, P Xu), Progr. Math. 287, Springer (2011) 111 MR2762542
13 A S Cattaneo, P Mnëv, Remarks on Chern–Simons invariants, Comm. Math. Phys. 293 (2010) 803 MR2566163
14 A S Cattaneo, C A Rossi, Higher-dimensional BF theories in the Batalin–Vilkovisky formalism : the BV action and generalized Wilson loops, Comm. Math. Phys. 221 (2001) 591 MR1852055
15 F R Cohen, L R Taylor, Computations of Gelfand–Fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces, from: "Geometric applications of homotopy theory, I" (editors M G Barratt, M E Mahowald), Lecture Notes in Math. 657, Springer (1978) 106 MR513543
16 V A Dolgushev, C L Rogers, A version of the Goldman–Millson theorem for filtered L–algebras, J. Algebra 430 (2015) 260 MR3323983
17 V Dolgushev, T Willwacher, Operadic twisting — with an application to Deligne’s conjecture, J. Pure Appl. Algebra 219 (2015) 1349 MR3299688
18 Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
19 Y Felix, J C Thomas, Configuration spaces and Massey products, Int. Math. Res. Not. 2004 (2004) 1685 MR2058024
20 B Fresse, T Willwacher, The intrinsic formality of En–operads, J. Eur. Math. Soc. 22 (2020) 2047 MR4107503
21 E Getzler, J D S Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, preprint (1994) arXiv:hep-th/9403055
22 T G Goodwillie, M Weiss, Embeddings from the point of view of immersion theory, II, Geom. Topol. 3 (1999) 103 MR1694808
23 A Hamilton, A Lazarev, Symplectic C–algebras, Mosc. Math. J. 8 (2008) 443 MR2483220
24 R Hardt, P Lambrechts, V Turchin, I Volić, Real homotopy theory of semi-algebraic sets, Algebr. Geom. Topol. 11 (2011) 2477 MR2836293
25 N Idrissi, The Lambrechts–Stanley model of configuration spaces, Invent. Math. 216 (2019) 1 MR3935037
26 M Kontsevich, Feynman diagrams and low-dimensional topology, from: "First European Congress of Mathematics, II" (editors A Joseph, F Mignot, F Murat, B Prum, R Rentschler), Progr. Math. 120, Birkhäuser (1994) 97 MR1341841
27 M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35 MR1718044
28 M Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003) 157 MR2062626
29 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
30 I Kriz, On the rational homotopy type of configuration spaces, Ann. of Math. 139 (1994) 227 MR1274092
31 P Lambrechts, D Stanley, Poincaré duality and commutative differential graded algebras, Ann. Sci. Éc. Norm. Supér. 41 (2008) 495 MR2489632
32 P Lambrechts, D Stanley, A remarkable DGmodule model for configuration spaces, Algebr. Geom. Topol. 8 (2008) 1191 MR2443112
33 P Lambrechts, I Volić, Formality of the little N–disks operad, 1079, Amer. Math. Soc. (2014) MR3220287
34 N Levitt, Spaces of arcs and configuration spaces of manifolds, Topology 34 (1995) 217 MR1308497
35 J L Loday, Cyclic homology, 301, Springer (1998) MR1600246
36 J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
37 R Longoni, P Salvatore, Configuration spaces are not homotopy invariant, Topology 44 (2005) 375 MR2114713
38 N Markarian, H L Tanaka, Factorization homology in 3–dimensional topology, from: "Mathematical aspects of quantum field theories", Springer (2015) 213 MR3330243
39 M Markl, S Shnider, J Stasheff, Operads in algebra, topology and physics, 96, Amer. Math. Soc. (2002) MR1898414
40 M Shiota, Nash manifolds, 1269, Springer (1987) MR904479
41 D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
42 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 269 MR646078
43 A Tognoli, Su una congettura di Nash, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 27 (1973) 167 MR396571
44 B Totaro, Configuration spaces of algebraic varieties, Topology 35 (1996) 1057 MR1404924
45 T Willwacher, M Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra, Invent. Math. 200 (2015) 671 MR3348138