Models for operads |
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Authors: | Martin Markl |
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Affiliation: | Mathematical Institute of the Academy , Praha 1, ?itná 25 , The Czech Republic , 115 67 E-mail: markl@earn. cvut . cz |
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Abstract: | We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps including a homology isomorphism. This approach, naturally arising in string theory, leads us to consider various versions of models. Some applications in topology (homotopy-everything spaces), algebra (cotangent cohomology) and mathematical physics (closed string-field theory) - are also given |
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Keywords: | operad model cohomology string theory |
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