arXiv Open Access 2019

A refinement of the Ozsváth-Szabó large integer surgery formula and knot concordance

Linh Truong

Lihat Sumber

Abstrak

We compute the knot Floer filtration induced by a cable of the meridian of a knot in the manifold obtained by large integer surgery along the knot. We give a formula in terms of the original knot Floer complex of the knot in the three-sphere. As an application, we show that a knot concordance invariant of Hom can equivalently be defined in terms of filtered maps on the Heegaard Floer homology groups induced by the two-handle attachment cobordism of surgery along a knot.

Topik & Kata Kunci

math.GT

Penulis (1)

Linh Truong

Format Sitasi

APA MLA BibTeX

Truong, L. (2019). A refinement of the Ozsváth-Szabó large integer surgery formula and knot concordance. https://arxiv.org/abs/1904.00288

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓