Twisted Virtual Bikeigebras and Twisted Virtual Handlebody-Knots
This paper focuses on generalizing unoriented handlebody-links to the twisted virtual case, obtaining Reidemeister moves for handlebody-links in ambient spaces. The paper introduces a related algebraic structure known as twisted virtual bikeigebras whose axioms are motivated by the twisted virtual h...
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| Format: | Others |
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Scholarship @ Claremont
2018
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| Online Access: | http://scholarship.claremont.edu/cmc_theses/1774 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2843&context=cmc_theses |
| Summary: | This paper focuses on generalizing unoriented handlebody-links to the twisted virtual case, obtaining Reidemeister moves for handlebody-links in ambient spaces. The paper introduces a related algebraic structure known as twisted virtual bikeigebras whose axioms are motivated by the twisted virtual handlebody-link Reidemeister moves. In the research, twisted virtual bikeigebras are used to dene X-colorability for twisted virtual handlebody-links and define an integer-valued invariant of twisted virtual handlebody-links. The paper also includes example computations of the new invariants and use them to distinguish some twisted virtual handlebody-links. |
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