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RUcore Resource Object
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TitlePseudoholomorphic quilts and Khovanov homology
NameRezazadegan, Reza (author), Woodward, Christopher (chair), Goodman, Roe (internal member), Luo, Feng (internal member), Manolescu, Ciprian (outside member), Rutgers University, Graduate School - New Brunswick,
Degree Date2009-10
Date Created2009
SubjectMathematics,
Holomorphic functions,
Homology theory
DescriptionWe generalize the symplectically-defined link homology theory developed by Paul Seidel and Ivan Smith to an invariant of tangles. We obtain a group-valued invariant, a functor-valued (or symplectic-valued functor) invariant and an ay functor-valued one for tangles. We provide evidence for the equivalence of this invariant with Khovanov's combinatorially defined invariant by showing the equivalence for flat (crossingless) tangles and their cobordisms. We also obtain an exact triangle for the Seidel-Smith invariant similar to that of Khovanov.
NotePh.D.
NoteIncludes bibliographical references (p. 91-93)
Noteby Reza Rezazadegan
Genretheses
Persistent URLhttp://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051896
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work