Mapping spaces of Swiss cheese operads
Victor Turchin

TL;DR
This paper proves a homotopy equivalence between the derived mapping spaces of Swiss cheese operads and little discs operads, providing insights into disc embedding spaces.
Contribution
It establishes a weak homotopy equivalence between the mapping spaces of Swiss cheese and little discs operads, advancing understanding of operad relationships.
Findings
The color restriction map is a weak homotopy equivalence.
This result aids in studying disc concordance embedding spaces.
Provides a new tool for analyzing operad mapping spaces.
Abstract
We show that the color restriction map from the derived mapping space of Swiss cheese operads to that of little discs operads, is a weak homotopy equivalence. We explain how this can help in the study of disc concordance embedding spaces.
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Taxonomy
TopicsAdvanced Topics in Algebra
