Homotopy Batalin -Vilkovisky algebras, trivializing circle actions, and moduli space
Item
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Title
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Homotopy Batalin -Vilkovisky algebras, trivializing circle actions, and moduli space
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Identifier
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d_2009_2013:bf92bcebcc0b:10457
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identifier
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10694
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Creator
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Drummond-Cole, Gabriel C.,
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Contributor
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John Terilla
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Date
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2010
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Language
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English
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Publisher
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City University of New York.
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Subject
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Mathematics | Quantum physics
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Abstract
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This thesis comprises two main results, one topological, one algebraic. The topological result is that an action of the framed little disks operad and a trivialization of the circle action within it determine an action of the Deligne-Mumford compactification of the moduli space of genus zero curves. The algebraic result is a description of the structure of minimal homotopy Batalin-Vilkovisky algebras and the theorem that in the case that the Batalin-Vilkovisky operator and its higher homotopies are trivial, the remaining algebraic structure is a minimal homotopy hypercommutative algebra. These results are related to one another because the algebraic structures involved are representations of the homology of, respectively, the framed little disks and the Deligne-Mumford compactification.
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Type
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dissertation
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Source
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2009_2013.csv
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degree
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Ph.D.
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Program
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Mathematics
