In this short note we use methods of Friedl, Livingston and Zentner to show that there are knots that are not algebraically concordant to a connected sum of positive and negative L-space knots.
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North Carolina State Univ, Dept Math, 2108 SAS Hall Box 8205, Raleigh, NC 27607 USANorth Carolina State Univ, Dept Math, 2108 SAS Hall Box 8205, Raleigh, NC 27607 USA
Lidman, Tye
Pinzon-Caicedo, Juanita
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Univ Notre Dame, Dept Math, 102G Crowley Hall, Notre Dame, IN 46556 USANorth Carolina State Univ, Dept Math, 2108 SAS Hall Box 8205, Raleigh, NC 27607 USA
Pinzon-Caicedo, Juanita
Scaduto, Christopher
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Univ Miami, Dept Math, 1365 Mem Dr, Coral Gables, FL 33146 USANorth Carolina State Univ, Dept Math, 2108 SAS Hall Box 8205, Raleigh, NC 27607 USA