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Laplaza sets, or how to select coherence diagrams for pseudo algebras |
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| Authors: | Thomas M. Fiore Po Hu |
| Affiliation: | a Department of Mathematics, University of Chicago, 5734 S. University, Chicago, IL 60637, USA b Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain c Department of Mathematics, Wayne State University, 1150 Faculty/Administration Building, 656 W. Kirby Detroit, MI 48202, USA d Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043, USA |
| Abstract: | We define a general concept of pseudo algebras over theories and 2-theories. A more restrictive such a notion was introduced in [Po Hu, Igor Kriz, Conformal field theory and elliptic cohomology, Adv. Math. 189 (2) (2004) 325-412, http://www.math.lsa.umich.edu/~ikriz/], but as noticed by M. Gould, did not capture the desired examples. The approach taken in this paper corrects the mistake by introducing a more general concept, allowing more flexibility in selecting coherence diagrams for pseudo algebras. |
| Keywords: | Lawvere theory Algebraic theory 2-theory Pseudo algebra Coherence Conformal field theory Worldsheet |
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