Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/1788
Full metadata record
DC FieldValueLanguage
dc.contributor.authorBhattacharyya, Nilangshu-
dc.contributor.authorSingh, Mahender-
dc.date.accessioned2021-12-14T04:34:09Z-
dc.date.available2021-12-14T04:34:09Z-
dc.date.issued2020-05-
dc.identifier.urihttp://hdl.handle.net/123456789/1788-
dc.description.abstractThis thesis is an exposition of Khovanov cohomology theory for knots and tangles with a focus on lifting of the construction of Khovanov cochain complex from the local level (for tangles) to the global level (for knots). We review two approaches of the construction of Khovanov cochain complex; one approach is algebraic using graded vector spaces and the other is topological involving cobordisms. Applying a suitable functor (TQFT) on the topological construction sends us to the algebraic set-up. A formal computation of Khovanov cohomology for the figure eight knot and an illustration of a fast computation algorithm developed by Dror Bar-Natan is also included in the thesis.en_US
dc.language.isoenen_US
dc.publisherIISERMen_US
dc.subjectHomologyen_US
dc.subjectKhovanov cohomologyen_US
dc.subjectKauffman bracket and Jones polynomialen_US
dc.subjectFast Computationsen_US
dc.titleKhovanov Homologyen_US
dc.typeThesisen_US
Appears in Collections:MS-15

Files in This Item:
File Description SizeFormat 
MS15169.docx13.25 kBMicrosoft Word XMLView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.