Juhasz, Andras Thurston, Dylan P. Zemke, Ian Naturality and mapping class groups in heegard floer homology 9781470449728

Варианты приобретения

Цена: 12058.00р.
Кол-во:
о цене
Наличие: Отсутствует.
Возможна поставка под заказ. Дата поступления на склад уточняется после оформления заказа

Добавить в корзину

в Мои желания

Автор: Juhasz, Andras Thurston, Dylan P. Zemke, Ian
Название: Naturality and mapping class groups in heegard floer homology
ISBN: 9781470449728
Издательство: Mare Nostrum (Eurospan)
Классификация:

Геометрия

Топология

ISBN-10: 1470449722
Обложка/Формат: Paperback
Вес: 0.34 кг.
Дата издания: 30.03.2022
Серия: Memoirs of the american mathematical society
Язык: English
Иллюстрации: Illustrations, unspecified
Размер: 182 x 257 x 24
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry,Topology
Рейтинг:
Поставляется из: Англии
Описание: We show that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural. That is, they assign concrete groups to each based 3-manifold, based link, and balanced sutured manifold, respectively. Furthermore, we functorially assign isomorphisms to (based) diffeomorphisms, and show that this assignment is isotopy invariant.

The proof relies on finding a simple generating set for the fundamental group of the space of Heegaard diagrams, and then showing that Heegaard Floer homology has no monodromy around these generators. In fact, this allows us to give sufficient conditions for an arbitrary invariant of multi-pointed Heegaard diagrams to descend to a natural invariant of 3-manifolds, links, or sutured manifolds.

Naturality and mapping class groups in heegard floer homology, Juhasz, Andras Thurston, Dylan P. Zemke, Ian