Knots and links in lens spaces Enrico Manfredi (книга)

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Enrico Manfredi - «Knots and links in lens spaces»

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Knot theory is a very interesting field of mathematics, that takes advantage of results of different areas. Its study produced interesting results not only in topology, but also in biology and physics. Usually knots are studied as subsets of the three dimensional sphere, but recent works pointed out the importance of knots inside different manifolds, such as lens spaces. This book contains the description of several existing possible representations of links in lens spaces, explaining how to transform one into another. From one of this representation, a presentation of the knot group is obtained, and it is shown how to compute from it an interesting family of twisted Alexander polynomials. Beside this, the invariant on which the book is focused on is the lift in the 3-sphere. After producing several possible representations of it, it is shown that the invariant is not complete for links in lens spaces, that is, there exist different links with equivalent lift. Using these examples it... Это и многое другое вы найдете в книге Knots and links in lens spaces (Enrico Manfredi)

Полное название книги Enrico Manfredi Knots and links in lens spaces
Тип Книга
Автор Enrico Manfredi
Ключевые слова математика, общие вопросы математики
Категории Образование и наука, Математика
ISBN 9783639761160
Возрастное ограничение 18
Издательство
Год 2015
Название транслитом knots-and-links-in-lens-spaces-enrico-manfredi
Просмотров 1
Рейтинг izbe.ru 0,0

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