A generalization of the Alexander polynomial as an application of the delta derivative

İsmet ALTINTAŞ; Kemal TAŞKÖPRÜ

Makale detayları

A generalization of the Alexander polynomial as an application of the delta derivative

Yazarlar:

İsmet ALTINTAŞ | Kemal TAŞKÖPRÜ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 2, pp.515-527

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745912

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we define the delta derivative in the integer group ring and we show that the delta derivative is well defined on the free groups. We also define a polynomial invariant of oriented knot and link by carrying the delta derivative to the link group. Since the delta derivative is a generalization of the free derivative, this polynomial invariant called the delta polynomial is a generalization of the Alexander polynomial. In addition, we present a new polynomial called the difference polynomial of oriented knot and link, which is similar to the Alexander polynomial and is a special case of the delta polynomial.

Makale detayları

A generalization of the Alexander polynomial as an application of the delta derivative

Yazarlar: İsmet ALTINTAŞ | Kemal TAŞKÖPRÜ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 2, pp.515-527

Belge Tipi: Makale

Yayın Tarihi: 3/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745912

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

İsmet ALTINTAŞ | Kemal TAŞKÖPRÜ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 2, pp.515-527

Belge Tipi:

Makale

Yayın Tarihi:

3/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745912

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098