Cross-cap singularities counted with sign

• Дата: 2018
• Автор: Krzyzanowska, Iwona
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: cross-cap; immersion; Stiefel manifold; intersection number; signature; 14P25; 57R45; 57R42; 12Y05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/32
• Назва журналу: Algebra and Discrete Mathematics

A method for computing the algebraic number of cross-cap singularities for mapping from \(m\)-dimensional compact manifold with boundary \(M\subset \mathbb{R}^m\) into \(\mathbb{R}^{2m-1}\), \(m\) is odd, is presented. As an application, the intersection number of an immersion \(g\colon S^{m-1}(r)\t...