#### Volume 7, issue 1 (2007)

 Download this article For screen For printing
 Recent Issues
Author Index
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 To Appear Other MSP Journals
Infinity structure of Poincaré duality spaces

### Appendix: Dennis Sullivan

Algebraic & Geometric Topology 7 (2007) 233–260
##### Bibliography
 1 M Chas, D Sullivan, String topology arXiv:math.GT/9911159 2 M Chas, D Sullivan, Closed string operators in topology leading to Lie bialgebras and higher string algebra, from: "The legacy of Niels Henrik Abel", Springer (2004) 771 MR2077595 3 D Chataur, A bordism approach to string topology, Int. Math. Res. Not. (2005) 2829 MR2180465 4 R L Cohen, J D S Jones, A homotopy theoretic realization of string topology, Math. Ann. 324 (2002) 773 MR1942249 5 R L Cohen, J Klein, D Sullivan, The homotopy invariance of the string topology loop product and string bracket arXiv:math.GT/0509667 6 D E Galewski, R J Stern, The relationship between homology and topological manifolds via homology transversality, Invent. Math. 39 (1977) 277 MR0445507 7 A Gómez-Tato, S Halperin, D Tanré, Rational homotopy theory for non-simply connected spaces, Trans. Amer. Math. Soc. 352 (2000) 1493 MR1653355 8 J D S Jones, Cyclic homology and equivariant homology, Invent. Math. 87 (1987) 403 MR870737 9 H Kajiura, Noncommutative homotopy algebras associated with open strings arXiv:math.QA/0306332 10 J R Klein, Fiber products, Poincaré duality and $A_\infty$-ring spectra, Proc. Amer. Math. Soc. 134 (2006) 1825 MR2207500 11 M Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003) 157 MR2062626 12 R Lawrence, D Sullivan, A free differential Lie algebra for the interval arXiv:math.AT/0610949 13 R Longoni, T Tradler, Infinity inner products for cyclic operads arXiv:math.AT/0312231 14 M Markl, A cohomology theory for $A(m)$-algebras and applications, J. Pure Appl. Algebra 83 (1992) 141 MR1191090 15 M Markl, Homotopy algebras are homotopy algebras, Forum Math. 16 (2004) 129 MR2034546 16 C McCrory, A characterization of homology manifolds, J. London Math. Soc. $(2)$ 16 (1977) 149 MR0445506 17 S A Merkulov, De Rham model for string topology, Int. Math. Res. Not. (2004) 2955 MR2099178 18 A A Ranicki, Algebraic $L$-theory and topological manifolds, Cambridge Tracts in Mathematics 102, Cambridge University Press (1992) MR1211640 19 J D Stasheff, Homotopy associativity of $H$-spaces. I, II, Trans. Amer. Math. Soc. 108 $(1963)$, 275-292; ibid. 108 (1963) 293 MR0158400 20 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. (1977) MR0646078 21 D Sullivan, Open and closed string field theory interpreted in classical algebraic topology, from: "Topology, geometry and quantum field theory", London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 344 MR2079379 22 T Tradler, The BV algebra on Hochschild cohomology induced by infinity inner products arXiv:math.QA/0210150 23 T Tradler, $\infty$–inner products on $A_{\infty}$–Algebras arXiv:math.AT/0108027 24 T Tradler, M Zeinalian, Algebraic string operations arXiv:math.QA/0605770 25 T Tradler, M Zeinalian, On the cyclic Deligne conjecture, J. Pure Appl. Algebra 204 (2006) 280 MR2184812 26 M V P Y. Felix J.-C. Thomas, Loop homology algebra of a closed manifold arXiv:math.AT/0203137