On Noether's bound for polynomial invariants of a finite group.
Fogarty, John (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Fogarty, John (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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Yuka Kotorii (2014)
Fundamenta Mathematicae
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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Alexander B. Merkov (1999)
Publications de l'Institut Mathématique
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Uwe Kaiser (1992)
Manuscripta mathematica
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Kulish, P.P., Nikitin, A.M. (2000)
Zapiski Nauchnykh Seminarov POMI
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Luiz C. Martins (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
Nathan Geer (2014)
Banach Center Publications
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We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.
G. Łubczonok (1973)
Annales Polonici Mathematici
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Sam Nelson (2014)
Fundamenta Mathematicae
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We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
Luiz C. Martins (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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George R. Kempf (1993)
Inventiones mathematicae
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Almasa Odžak, Lejla Smajlović (2011)
Acta Arithmetica
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Erwan Brugallé, Nicolas Puignau (2013)
Rendiconti del Seminario Matematico della Università di Padova
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H.E.A. Campbell, I.P. Hughes (1996)
Mathematische Annalen
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Dave Benson (1994)
Manuscripta mathematica
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Stavros Garoufalidis (2004)
Fundamenta Mathematicae
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We formulate a conjectural formula for Khovanov's invariants of alternating knots in terms of the Jones polynomial and the signature of the knot.