Final Degree Project
Homología de Khovanov
Author/s | Rivera Bustos, Ana Alicia |
Director | González-Meneses López, Juan
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Publication Date | 2018-09 |
Deposit Date | 2018-10-17 |
Academic Title | Universidad de Sevilla. Grado en Matemáticas |
Abstract | Knot theory is quite younger compare to other theories in mathematics. Even so, it is an important mathematic theory in the topology field. Besides, it seems to have relation with other fields of knowledge like biology or ... Knot theory is quite younger compare to other theories in mathematics. Even so, it is an important mathematic theory in the topology field. Besides, it seems to have relation with other fields of knowledge like biology or physics. In this dissertation, we walk through some concepts such as knots, invariants, Jones polynomial, states and homology. Khovanov homology is an invariant of knots and it is a more accurate invariant than Jones polynomial. In this dissertation, we are going to prove that it is an invariant, partialy at least, to give an example of how to calculate it and to compare briefly with Jones polynomial. |
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Rivera Busto Alicia TFG.pdf | 1.586Mb | ![]() | View/ | |