Homotopy algebra of open-closed strings TeX Export

@misc{citeulike:1094306, abstract = {This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop spaces, etc. We newly present Merkulov's geometric \$A\_\infty\$-structure <a href="/abs/math.AG/0001007">math.AG/0001007</a> as a special example of an OCHA. We also recall the relation of open-closed homotopy algebras to various aspects of deformation theory.}, archivePrefix = {arXiv}, author = {Kajiura, Hiroshige and Stasheff, Jim}, citeulike-article-id = {1094306}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0606283}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0606283}, day = {6}, eprint = {hep-th/0606283}, keywords = {homotopy\_pretrubation}, month = {Feb}, posted-at = {2008-01-26 17:25:03}, priority = {2}, title = {Homotopy algebra of open-closed strings}, url = {http://arxiv.org/abs/hep-th/0606283}, year = {2007} }

TY - ELEC ID - citeulike:1094306 L3 - citeulike-article-id:1094306 N2 - This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration spaces (one of Fred's specialities) of Riemann surfaces, structures on loop spaces, etc. We newly present Merkulov's geometric $A_\infty$-structure <a href="/abs/math.AG/0001007">math.AG/0001007</a> as a special example of an OCHA. We also recall the relation of open-closed homotopy algebras to various aspects of deformation theory. TI - Homotopy algebra of open-closed strings KW - homotopy_pretrubation AU - Kajiura, Hiroshige AU - Stasheff, Jim PY - 2007/Feb/06/ UR - http://arxiv.org/abs/hep-th/0606283 ER -