arXiv subjects

Steven Lillywhite

Publications and source records attributed to Steven Lillywhite.

2 recordsLinked to original sources

arXiv2003

Formality in an Equivariant Setting

We define and discuss G-formality for certain spaces endowed with an action by a compact Lie group. This concept is essentially formality of the Borel construction of the space in a category of commutative differential graded algebras over R, where R is the cohomology of the classifying space BG. These results may be applied in computing the equivariant cohomology of their loop spaces.

math.AT↗

arXiv2002

Bar Complexes and Formality of Pull-backs

We prove a result concerning formality of the pull-back of a fibration. Our approach is to use bar complexes in the category of commutative differential graded algebras. As an application, we generalize an old result of Baum and Smith.

math.AT↗