Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On definite lattices bounded by integer surgeries along knots with slice genus at most 2
HTML articles powered by AMS MathViewer

by Marco Golla and Christopher Scaduto PDF
Trans. Amer. Math. Soc. 372 (2019), 7805-7829 Request permission

Abstract:

We classify the positive definite intersection forms that arise from smooth 4-manifolds with torsion-free homology bounded by positive integer surgeries on the right-handed trefoil. A similar, slightly less complete classification is given for the $(2,5)$-torus knot, and analogous results are obtained for integer surgeries on knots of slice genus at most 2. The proofs use input from Yang–Mills instanton gauge theory, Heegaard Floer correction terms, and the topology of singular complex plane curves.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 57M25, 57M27
  • Retrieve articles in all journals with MSC (2010): 57M25, 57M27
Additional Information
  • Marco Golla
  • Affiliation: CNRS, Laboratoire de Mathématiques Jean Leray, 44322 Nantes, France
  • MR Author ID: 1098550
  • Email: marco.golla@univ-nantes.fr
  • Christopher Scaduto
  • Affiliation: Simons Center for Geometry and Physics, SUNY Stony Brook University, Stony Brook, New York 11794
  • MR Author ID: 1122383
  • Email: cscaduto@scgp.stonybrook.edu
  • Received by editor(s): October 1, 2018
  • Received by editor(s) in revised form: February 11, 2019, and February 12, 2019
  • Published electronically: June 21, 2019
  • Additional Notes: The first author acknowledges support from CNRS though a “Jeunes chercheurs et jeunes chercheuses” grant and hospitality from the Simons Center for Geometry and Physics.
    The second author was supported by NSF grant DMS-1503100.
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 7805-7829
  • MSC (2010): Primary 57M25, 57M27
  • DOI: https://doi.org/10.1090/tran/7823
  • MathSciNet review: 4029682