54 Publications (Page 1 of 3)
2020
The Fukaya category of the pillowcase, traceless character varieties, and Khovanov cohomologyHedden, Matthew⋅Herald, Christopher M⋅Hogancamp, Matthew and Kirk, PaulTransactions of the American Mathematical Society, pp. 1, 2020-02-25.
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2018
The Fukaya category of the pillowcase, traceless character varieties, and Khovanov CohomologyHedden, Matthew⋅Herald, Christopher M⋅Hogancamp, Matthew and Kirk, Paul2018-08-21.
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2017
On the traceless SU(2) character variety of the 6-punctured 2-sphereKirk, PaulJournal of Knot Theory and Its Ramifications, vol. 26, (no. 2), Feb 2017.
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Traceless SU(2) representations of 2-stranded tanglesFUKUMOTO, YOSHIHIRO⋅Kirk, Paul and PINZÓN-CAICEDO, JUANITAMathematical Proceedings of the Cambridge Philosophical Society, vol. 162, (no. 1), pp. 129, 2017-01-00.
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2015
Holonomy perturbations in a cylinder, and regularity for traceless SU(2) character varieties of tanglesHerald, Christopher M and Kirk, Paul2015-11-01.
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On the traceless SU(2) character variety of the 6-punctured 2-sphereKirk, Paul2015-12-31.
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The concordance classification of low crossing number knotsCollins, Julia⋅Collins, Julia⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, CharlesProceedings of the American Mathematical Society, vol. 143, (no. 10), pp. 4536, October 1, 2015.
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2014
NewsLuangsa-ard, Janet Jennifer Divinagracia and Kirk, Paul MIMA Fungus, vol. 5, (no. 1), pp. A5, 2014-06-00.
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The pillowcase and perturbations of traceless representations of knot groupsHedden, Matthew⋅Herald, Chris M and Kirk, PaulGeometry & Topology, vol. 18, (no. 1), pp. 287, 2014-01-23.
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2013
Coisotropic Luttinger Surgery and Some New Examples of Symplectic Calabi-Yau 6-manifoldsBaldridge, Scott and Kirk, PaulIndiana University Mathematics Journal, vol. 62, (no. 5), pp. 1471, 20130101.
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The concordance classification of low crossing number knotsCollins, Julia⋅Collins, Julia⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, Charles2013-09-27.
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2012
Instantons, concordance, and Whitehead doublingHedden, Matthew and Kirk, PaulJournal of Differential Geometry, vol. 91, (no. 2), pp. 319, 2012-06-00.
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Non-slice linear combinations of algebraic knotsHedden, Matthew⋅Hedden, Matthew⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, CharlesJournal of the European Mathematical Society, vol. 14, (no. 4), pp. 1208, 20120000.
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2010
Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordismHedden, Matthew and Kirk, Paul2010-09-27.
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How toDonnelly, Peter and Kirk, PaulEducation for Primary Care, vol. 21, (no. 4), pp. 269, 1/1/2010.
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Instantons, concordance, and Whitehead doublingHedden, Matthew and Kirk, Paul2010-09-27.
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Metabelian representations, twisted Alexander polynomials, knot slicing, and mutationHerald, Chris⋅Herald, Chris⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, CharlesMathematische Zeitschrift, vol. 265, (no. 4), pp. 949, 20100800.
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Simply connected minimal symplectic 4-manifolds with signature less than −1Akhmedov, Anar⋅Baldridge, Scott⋅Baykur, R. İnanç⋅Kirk, Paul and Park, B. DougJournal of the European Mathematical Society, vol. 12, (no. 1), pp. 161, 20100000.
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2009
Non-slice linear combinations of algebraic knotsHedden, Matthew⋅Hedden, Matthew⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, Charles2009-09-07.
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The geography problem for 4-manifolds with specified fundamental groupKirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, CharlesTransactions of the American Mathematical Society, vol. 361, (no. 8), pp. 4124, 20090801.
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2008
Metabelian representations, twisted Alexander polynomials, knot slicing, and mutationHerald, Chris⋅Herald, Chris⋅Kirk, Paul⋅Kirk, Paul⋅Livingston, Charles and Livingston, Charles2008-04-08.
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2007
An interesting symplectic 4-manifold with small Euler characteristicBaldridge, Scott and Kirk, Paul2007-01-14.
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On symplectic 4-manifolds with prescribed fundamental groupBaldridge, Scott and Kirk, PaulCommentarii Mathematici Helvetici, vol. 82, pp. 845, 2007.
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Simply connected minimal symplectic 4-manifolds with signature less than --1Akhmedov, Anar⋅Baldridge, Scott⋅Baykur, R. Inanc⋅Kirk, Paul and Park, B. Doug2007-05-05.
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2006
Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau lineBaldridge, Scott and Kirk, PaulJournal of Symplectic Geometry, vol. 4, (no. 1), pp. 70, 2006-00-00.
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