AZ
Alexander Zupan
math.GT4-manifold4-manifoldsbridge trisectioncomplex curveDehn surgeryGeneralized Property R ConjectureHeegaard splittingknotted surfacemath.CO
On Valency
published · living versionsW_ywaq8uwu·v1 · currentpublished
Preprints & journals
30 papers in the corpus · 2010–2026Symmetric ribbon numbers of low-complexity knots2606.02390v1 · Sajid Raihan Akash, Eric Corrado, Bishop Placke et al.2026 · 0 citationsarXiv
A homological generalized Property R conjecture is false2603.05664v1 · Tye Lidman, Trevor Oliveira-Smith, Alexander Zupan2026 · 0 citationsarXiv
Colorings of symmetric unions and partial knots2504.08589v1 · Ben Clingenpeel, Zongzheng Dai, Gabriel Diraviam et al.2025 · 0 citationsarXiv
Manifolds with weakly reducible genus-three trisections are standard2503.04607v1 · Rom'an Aranda, Alexander Zupan2025 · 0 citationsarXiv
Ribbon numbers of 12-crossing knots2409.12910v1 · Xianhao An, Matthew Aronin, David Cates et al.2024 · 0 citationsarXiv
Bounding the ribbon numbers of knots and links2408.11618v1 · Stefan Friedl, Filip Misev, Alexander Zupan2024 · 0 citationsarXiv
Knots bounding non-isotopic ribbon disks2310.17564v1 · Jeffrey Meier, Alexander Zupan2023 · 0 citationsarXiv
A family of Andrews-Curtis trivializations via 4-manifold trisections2304.03196v1 · Ethan Romary, Alexander Zupan2023 · 0 citationsarXiv
Tri-plane diagrams for simple surfaces in 2302.08431v1 · Wolfgang Allred, Manuel Arag'on, Zack Dooley et al.2023 · 1 citationarXiv
Bridge trisections and Seifert solids2210.09669v1 · Jason Joseph, Jeffrey Meier, Maggie Miller et al.2022 · 0 citationsAlgebr. Geom. Topol. 25 (2025) 1501-1522
Hexagonal lattice diagrams for complex curves in 2209.04274v1 · Alexander Zupan2022 · 0 citationsarXiv
Bridge trisections and classical knotted surface theory2112.11557v2 · Jason Joseph, Jeffrey Meier, Maggie Miller et al.2021 · 2 citationsPacific J. Math. 319 (2022) 343-369
Cubic graphs induced by bridge trisections2007.07280v1 · Jeffrey Meier, Abigail Thompson, Alexander Zupan2020 · 2 citationsMath. Res. Lett. 30 (2023), no. 4, 1207-1231
Equivalent characterizations of handle-ribbon knots2005.11243v1 · Maggie Miller, Alexander Zupan2020 · 1 citationarXiv
Generalized square knots and homotopy 4-spheres1904.08527v1 · Jeffrey Meier, Alexander Zupan2019 · 7 citationsJ. Differential Geom. 122 (2022), no. 1, 69-129
Characterizing Dehn surgeries on links via trisections.30348796 · Meier, Jeffrey, Zupan, Alexander2018 · 8 citationsProceedings of the National Academy of Sciences of the United States of America. 2018;115(43):10887-10893
Bridge trisections of knotted surfaces in 4-manifolds.30348807 · Meier, Jeffrey, Zupan, Alexander2018 · 41 citationsProceedings of the National Academy of Sciences of the United States of America. 2018;115(43):10880-10886
Natural properties of the trunk of a knot1608.00019v1 · Derek Davies, Alexander Zupan2016 · 9 citationsarXiv
Independence of volume and genus bridge numbers1512.03869v2 · Jessica S. Purcell, Alexander Zupan2015 · 0 citationsarXiv
New examples of Brunnian theta graphs1508.03014v2 · Byoungwook Jang, Anna Kronaeur, Pratap Luitel et al.2015 · 5 citationsInvolve 9 (2016) 857-875
Bridge trisections of knotted surfaces in 1507.08370v1 · Jeffrey Meier, Alexander Zupan2015 · 55 citationsTrans. Amer. Math. Soc. 369 (2017), 7343-7386
Classification of trisections and the Generalized Property R Conjecture1507.06561v1 · Jeffrey Meier, Trent Schirmer, Alexander Zupan2015 · 45 citationsProc. Amer. Math. Soc. 144 (2016), 4983-4997
Genus two trisections are standard1410.8133v1 · Jeffrey Meier, Alexander Zupan2014 · 37 citationsGeom. Topol. 21 (2017) 1583-1630
Knots with compressible thin levels1403.6211v1 · Ryan Blair, Alexander Zupan2014 · 5 citationsAlgebr. Geom. Topol. 15 (2015) 1691-1715
Bridge spectra of twisted torus knots1403.6504v1 · R. Sean Bowman, Scott Taylor, Alex Zupan2014 · 18 citationsarXiv
Products of Farey graphs are totally geodesic in the pants graph1307.7268v2 · Samuel J. Taylor, Alexander Zupan2013 · 4 citationsarXiv
Bridge spectra of iterated torus knots1301.7689v1 · Alexander Zupan2013 · 14 citationsarXiv
Properties of knots preserved by cabling1010.3220v1 · Alexander Zupan2010 · 15 citationsarXiv
Unexpected local minima in the width complexes for knots1008.5003v1 · Alexander Zupan2010 · 6 citationsAlgebr. Geom. Topol. 11 (2011) 1097-1105
A lower bound on the width of satellite knots1008.2047v1 · Alexander Zupan2010 · 9 citationsarXiv
Career total: 38 works. 30 are in this corpus.
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