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Pseudoholomorphic quilts and Khovanov homology
Descriptive
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Text
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Title
Pseudoholomorphic quilts and Khovanov homology
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ETD_2117
Identifier
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051896
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eng
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theses
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Topic
Mathematics
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(authority = ETD-LCSH)
Topic
Holomorphic functions
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(authority = ETD-LCSH)
Topic
Homology theory
Abstract
We 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.
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electronic resource
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vi, 94 p. : ill.
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Ph.D.
Note
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Includes bibliographical references (p. 91-93)
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by Reza Rezazadegan
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Rezazadegan
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Reza
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1981-
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author
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Reza Rezazadegan
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Woodward
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Christopher
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chair
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Christopher Woodward
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Goodman
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Roe
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internal member
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Roe Goodman
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Luo
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Feng
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internal member
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Feng Luo
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Manolescu
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Ciprian
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Ciprian Manolescu
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Rutgers University
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Graduate School - New Brunswick
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2009
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2009-10
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xx
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Rutgers University Electronic Theses and Dissertations
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ETD
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Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
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doi:10.7282/T3B85896
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ETD doctoral
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Rights
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The author owns the copyright to this work
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Copyright protected
Notice
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Open
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Rezazadegan
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Reza
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Reza Rezazadegan
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Rutgers University. Graduate School - New Brunswick
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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