arXiv Open Access 2024

Classification of Lattices Bounded by Large Surgeries of Knots

Ali Naseri Sadr

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Abstrak

We classify all the lattices realized as the intersection form of a positive definite four manifold with boundary $S_n^3(K)$ for a knot $K$ in the three sphere and a positive integer $n$ greater than $4g_4(K)+3$. We then use this result to define a concordance invariant and generalize a theorem of Rasmussen on lens space surgeries.

Topik & Kata Kunci

math.GT

Penulis (1)

Ali Naseri Sadr

Format Sitasi

APA MLA BibTeX

Sadr, A.N. (2024). Classification of Lattices Bounded by Large Surgeries of Knots. https://arxiv.org/abs/2404.14633

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓