Vol. 1, No. 3, 2007

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 11, 1867–2053
Issue 10, 1681–1865
Issue 9, 1533–1680
Issue 8, 1359–1532
Issue 7, 1239–1357
Issue 6, 1127–1237
Issue 5, 981–1126
Issue 4, 805–980
Issue 3, 541–804
Issue 2, 267–539
Issue 1, 1–266

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
L$\mskip1mu _{\infty}$ structures on mapping cones

Domenico Fiorenza and Marco Manetti

Vol. 1 (2007), No. 3, 301–330
Abstract

We show that the mapping cone of a morphism of differential graded Lie algebras, χ: L M, can be canonically endowed with an L-algebra structure which at the same time lifts the Lie algebra structure on L and the usual differential on the mapping cone. Moreover, this structure is unique up to isomorphisms of L-algebras.

Keywords
differential graded Lie algebra, symmetric coalgebra, $L_{\infty}$-algebra, functor of Artin ring
Mathematical Subject Classification 2000
Primary: 17B70
Secondary: 13D10
Milestones
Received: 3 April 2007
Revised: 7 August 2007
Accepted: 5 September 2007
Published: 1 August 2007
Authors
Domenico Fiorenza
Dipartimento di Matematica “Guido Castelnuovo”
Università di Roma “La Sapienza”
Piazzale Aldo Moro 5
I-00185 Roma
Italy
http://www.mat.uniroma1.it/\~{}fiorenza/
Marco Manetti
Dipartimento di Matematica “Guido Castelnuovo”
Università di Roma “La Sapienza”
Piazzale Aldo Moro 5
I-00185 Roma
Italy
http://www.mat.uniroma1.it/people/manetti/