@inbook{ecb5562ec71c4aa5a6250f6fe1e3e4bc,
title = "Notes on Factorization Algebras, Factorization Homology and Applications",
abstract = "These notes are an expanded version of two series of lectures given at the winter school in mathematical physics at les Houches and at the Vietnamese Institute for Mathematical Sciences. They are an introduction to factorization algebras, factorization homology and some of their applications, notably for studying En -algebras. We give an account of homology theory for manifolds (and spaces), which give invariant of manifolds but also invariant of En -algebras. We particularly emphasize the point of view of factorization algebras (a structure originating from quantum field theory) which plays, with respect to homology theory for manifolds, the role of sheaves with respect to singular cohomology. We mention some applications to the study of mapping spaces, in particular in string topology and for (iterated) Bar constructions and study several examples.",
keywords = "Cd Ga, Factorization Algebras, Factorization Homology, Homology Theory, Symmetric Monoidal",
author = "Gr{\'e}gory Ginot",
note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing Switzerland.",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-09949-1\_13",
language = "English",
series = "Mathematical Physics Studies",
publisher = "Springer",
pages = "429--552",
booktitle = "Mathematical Physics Studies",
}