# On the homotopy transfer of ${A}_{\infty}$ structures

Archivum Mathematicum (2017)

- Volume: 053, Issue: 5, page 267-312
- ISSN: 0044-8753

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topKopřiva, Jakub. "On the homotopy transfer of $A_\infty $ structures." Archivum Mathematicum 053.5 (2017): 267-312. <http://eudml.org/doc/294838>.

@article{Kopřiva2017,

abstract = {The present article is devoted to the study of transfers for $A_\infty $ structures, their maps and homotopies, as developed in [7]. In particular, we supply the proofs of claims formulated therein and provide their extension by comparing them with the former approach based on the homological perturbation lemma.},

author = {Kopřiva, Jakub},

journal = {Archivum Mathematicum},

keywords = {$A_\infty $ structures; transfer; homological perturbation lemma},

language = {eng},

number = {5},

pages = {267-312},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On the homotopy transfer of $A_\infty $ structures},

url = {http://eudml.org/doc/294838},

volume = {053},

year = {2017},

}

TY - JOUR

AU - Kopřiva, Jakub

TI - On the homotopy transfer of $A_\infty $ structures

JO - Archivum Mathematicum

PY - 2017

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 053

IS - 5

SP - 267

EP - 312

AB - The present article is devoted to the study of transfers for $A_\infty $ structures, their maps and homotopies, as developed in [7]. In particular, we supply the proofs of claims formulated therein and provide their extension by comparing them with the former approach based on the homological perturbation lemma.

LA - eng

KW - $A_\infty $ structures; transfer; homological perturbation lemma

UR - http://eudml.org/doc/294838

ER -

## References

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- Markl, M., Shnider, S., Stasheff, J.D., Operads in Algebra, Topology and Physics, Mathematical Surveys and Monographs, American Mathematical Society, Providence, Rhode Island, 2002. (2002) Zbl1017.18001MR1898414
- Merkulov, S., 10.1155/S1073792899000070, Internat. Math. Res. Notices (1999), no. 3, 153–164. (1999) DOI10.1155/S1073792899000070
- Prouté, A., ${A}_{\infty}$-structures: Modèles Minimaux de Baues-Lemaire et Kadeishvili et Homologie des Fibrations, Ph.D. thesis, Université Paris 7 – Denis Diderot, 1986. (1986)
- Weibel, C.A., An introduction to homological algebra, Cambridge University Press, 1995. (1995) Zbl0834.18001

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