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New York Journal of Mathematics
Volume 25 (2019), 1259-1311

  

Marco Manetti and Francesco Meazzini

Formal deformation theory in left-proper model categories

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Published: November 29, 2019.
Keywords: Model categories, deformation theory, differential graded algebras.
Subject: 18G55,14D15,16W50.

Abstract
We develop the notion of deformation of a morphism in a left-proper model category. As an application we provide a geometric/homotopic description of deformations of commutative (non-positively) graded differential algebras over a local DG-Artin ring.

Acknowledgements

This research is partially supported by Italian MIUR under PRIN project 2015ZWST2C "Moduli spaces and Lie theory". Both authors thank Ruggero Bandiera, Barbara Fantechi and Domenico Fiorenza for useful discussions on the subject of this paper. We are grateful to the referee for carefully reading the paper and for useful comments.


Author information

Marco Manetti:
Universitá degli studi di Roma La Sapienza
Dipartimento di Matematica Guido Castelnuovo
P.le Aldo Moro 5, I-00185 Roma, Italy

manetti@mat.uniroma1.it

Francesco Meazzini:
Universitá degli studi di Roma La Sapienza
Dipartimento di Matematica Guido Castelnuovo
P.le Aldo Moro 5, I-00185 Roma, Italy

meazzini@mat.uniroma1.it