On definite lattices bounded by integer surgeries along knots with slice genus at most 2

DOI10.1090/tran/7823zbMath1445.57003arXiv1807.11931OpenAlexW2953055402WikidataQ128355014 ScholiaQ128355014MaRDI QIDQ5243089

Christopher Scaduto, Marco Golla

Publication date: 14 November 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11931

zbMATH Keywords

intersection formrational homology sphereHeegaard Floer correction term

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (2)

Niemeier lattices, smooth 4-manifolds and instantons ⋮ Homology spheres with E_8-fillings and arbitrarily large correction terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some knots in \(S^1 \times S^2\) with lens space surgeries
• Cosmetic surgeries on knots in \(S^3\)
• Dehn surgeries and rational homology balls
• Invariants for homology 3-spheres
• Connections, cohomology and the intersection forms of 4-manifolds
• Rational 1- and 2-cuspidal plane curves
• Heegaard Floer correction terms, with a twist
• Two-fold quasi-alternating links, Khovanov homology and instanton homology
• Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle
• The Seiberg-Witten equations and four-manifolds with boundary
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• Lens space surgeries and a conjecture of Goda and Teragaito
• Dehn surgeries and negative-definite four-manifolds
• Elementary surgery along a torus knot
• A characterization of the Z<sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> ⊕Z(<i>δ</i>) lattice and definite nonunimodular intersection forms
• Scissor equivalence for torus links
• Low-dimensional lattices. I. Quadratic forms of small determinant
• On 2-dimensional homology classes of 4-manifolds

This page was built for publication: On definite lattices bounded by integer surgeries along knots with slice genus at most 2