Weight decompositions of Thom spaces of vector bundles in rational homotopy
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Homotopy and Related Structures"
DOI: 10.1007/s40062-019-00243-2
Abstract: Motivated by the theory of representability classes by submanifolds, we study the rational homotopy theory of Thom spaces of vector bundles. We first give a Thom isomorphism at the level of rational homotopy, extending work… read more here.
Keywords: rational homotopy; thom spaces; homotopy; vector bundles ... See more keywords
The extended rational homotopy theory of operads
Sign Up to like & getrecommendations! Published in 2018 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2018-0061
Abstract: Abstract In this paper, we set up a rational homotopy theory for operads in simplicial sets whose term of arity one is not necessarily reduced to an operadic unit, extending results obtained by the author… read more here.
Keywords: homotopy theory; rational homotopy; homotopy; theory operads ... See more keywords