Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Maurer–Cartan moduli and models for function spaces
AU - Lazarev, Andrey
PY - 2013/3/1
Y1 - 2013/3/1
N2 - We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.
AB - We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.
KW - Closed model category
KW - Differential graded algebra
KW - Chevalley–Eilenberg cohomology
KW - Maurer–Cartan element
KW - Sullivan model
U2 - 10.1016/j.aim.2012.11.009
DO - 10.1016/j.aim.2012.11.009
M3 - Journal article
VL - 235
SP - 296
EP - 320
JO - Advances in Mathematics
JF - Advances in Mathematics
SN - 0001-8708
ER -