• Artículo
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      A geometric description of the extreme Khovanov cohomology 

      González-Meneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (Cambridge University Press, 2018-06)
      We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial ...
    • Ponencia
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      A particular type of non-associative algebras and graph theory 

      Núñez Valdés, Juan; Silvero Casanova, Marithania; Villar Liñán, María Trinidad (World Scientific and Engineering Academy and Society Press, 2011)
      Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical ...
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      Alexander-Conway polynomial state model and link homology 

      Kauffman, Louis H.; Silvero Casanova, Marithania (World Scientific Publishing, 2016-03)
      This paper shows how the Formal Knot Theory state model for the Alexander-Conway polynomial is related to Knot Floer ...
    • Artículo
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      Almost-extreme Khovanov spectra 

      Cantero Morán, Federico; Silvero Casanova, Marithania (Springer, 2021)
      We introduce a functor from the cube to the Burnside 2-category and prove that it is equivalent to the Khovanov spectrum ...
    • Trabajo Fin de Máster
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      Las conjeturas de Tait 

      Baena Gómez, Jesús (2022-06-15)
      In the late 19th century, Peter Guthrie Tait asserted three properties of alternating link diagrams, which are known today ...
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      Extreme Khovanov spectra 

      Cantero Morán, Federico; Silvero Casanova, Marithania (EUROPEAN MATHEMATICAL SOC, 2019-09-28)
      We prove that the spectrum constructed by González-Meneses, Manchón and the second author is stably homotopy equivalent to the Khovanov spectrum of Lipshitz and Sarkar at its extreme quantum grading.
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      Khovanov homotopy type, periodic links and localizations 

      Borodzik, Maciej; Politarczyk, Wojciech; Silvero Casanova, Marithania (Springer, 2021)
      Given an m-periodic link L ⊂ S3, we show that the Khovanov spectrum XL con structed by Lipshitz and Sarkar admits a group ...
    • Ponencia
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      Muchos siglos antes de Hipatia ya hubo mujeres matemáticas 

      Núñez Valdés, Juan; Olivares Nadal, Alba Victoria; Rodríguez Lorenzo, Estrella; Silvero Casanova, Marithania (2010)
      Evidentes razones mediáticas (película Ágora de 2009, biografías, documentales...), unidas a razones ciertamente científicas ...
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      On a conjecture by Kauffman on alternative and pseudoalternating links 

      Silvero Casanova, Marithania (Elsevier, 2015-06)
      It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. ...
    • Tesis Doctoral
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      On some families of links and new approaches to link homologies 

      Silvero Casanova, Marithania (2016-03-01)
      Esta tesis se enmarca dentro de la Teoría de Nudos. En los Capítulos 1 y 2 se usan herramientas clásicas para estudiar las ...
    • Trabajo Fin de Máster
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      Polinomio de Jones y homología de Khovanov de nudos y enlaces : versión clásica y anular 

      García Rodrigo, Sergio (2022-06-21)
      Este trabajo se encuentra dentro de la Teoría de Nudos. En él, se presentan dos de los invariantes más relevantes de esta ...
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      Strongly quasipositive links with braid index 3 have positive Conway polynomial 

      Silvero Casanova, Marithania (World Scientific, 2016-10)
      Strongly quasipositive links are those links which can be seen as closures of positive braids in terms of band generators. ...
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      The root extraction problem for generic braids 

      Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019-10)
      We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...