Configuration Spaces Of Products

We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product of right modules over the operads of little cubes of the appropriate dimension. We also discuss an analogue of this result for manifolds that are not necessarily parallelizable, which involves a new operad of skew little cubes.


Published in:
Transactions Of The American Mathematical Society, 371, 4, 2963-2985
Year:
Feb 15 2019
Publisher:
Providence, AMER MATHEMATICAL SOC
ISSN:
0002-9947
1088-6850
Keywords:




 Record created 2019-01-23, last modified 2019-06-19


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