Loop homotopy algebras in closed string field theory

Communications in Mathematical Physics

Volumn 221, Issue 2, 2001, Pages 367-384

  Markl, Martin ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035536786     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005575     Document Type: Article

References (20)

1. 1. Akman, F.: On some generalizations of Batalin-Vilkovisky algebras. Preprint q-alg/9506027, June 1995
2. 2. Akman, F.: Multibraces on the Hochschild complex. Preprint q-alg/9702010, February 1997
3. 3. Alfaro, J., Bering, K., Damgaard, P.H.: Algebra of higher antibrackets. Preprint hep-th/9604027, April 1996
4. 4. Alfaro, J., Damgaard, P.H.: Non-Abelian antibrackets. Preprint hep-th/9511066, November 1995
5. 5. Behrend, K., Manin, Yu.: Stacks of stable maps and Gromov-Witten invariants. Preprint alg-geom/9506023, June 1995
6. 6. Getzler, E., Jones, J.D.S.: Operads, homotopy algebra, and iterated integrals for double loop spaces. Preprint, 1993
7. 7. Getzler, E., Kapranov, M.M.: Cyclic operads and cyclic homology. In: S.-T. Yau, editor, Geometry, Topology and Physics for Raoul Bott, Volume 4 of Conf. Proc. Lect. Notes. Geom. Topol., Cambridge, MA: International Press, 1995, pp. 167-201
8. 8. Getzler, E., Kapranov, M.M.: Modular operads. Compositio Math. 110 (1), 65-126 (1998)
9. 9. Ginzburg, V., Kapranov, M.M.: Koszul duality for operads. Duke Math. J. 76 (1), 203-272 (1994)
10. 10. Kapranov, M.M.: Operads in algebraic geometry. Documenta Mathematica Extra Volume ICM, pp. 277-286 (1998)
11. 11. Kimura, T., Stasheff, J.D., Voronov, A.A.: On operad structures of moduli spaces and string theory. Commun. Math. Phys. 171, 1-25 (1995)
12. 12. Kontsevich, M.: Graphs, homotopical algebra and low-dimensional topology. Preprint, 1994
13. 13. Lada, T., Markl, M.: Strongly homotopy Lie algebras. Communications in Algebra 23 (6), 2147-2161 (1995)
14. 14. Lada, T., Stasheff, J.D.: Introduction to sh Lie algebras for physicists. International J. Theor. Phys. 32 (7), 1087-1103 (1993)
15. 15. Markl, M.: A cohomology theory for A (m)-algebras and applications. J. Pure Appl. Algebra 83, 141-175 (1992)
16. 16. Markl, M., Shnider, S., Stasheff, J.D.: Operads in algebra, topology and mathematical physics. Book, work in progress
17. 17. May, J.P.: The Geometry of Iterated Loop Spaces. Lecture Notes in Mathematics Vol 271 Berlin-Heidelberg-New York: Springer-Verlag, 1972
18. 18. Stasheff, J.D.: Homotopy associativity of H-spaces I,II. Trans. Am. Math. Soc. 108, 275-312 (1963)
19. 19. Stasheff, J.D.: Higher homotopy algebras: String field theory and Drinfel'd quasi-Hopf algebras. In: Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics. Baruch College, CUNI, June 1991, Singapore: World Scientific, 1992, pp. 408-425
20. 20. Zwiebach, B.: Closed string field theory: Quantum action and the Batalin-Vilkovisky master equation. Nucl. Phys. B 390, 33-152 (1993)