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Publication List

(Updated January 2024) 

Rob Schneiderman 

Homotopy versus Isotopy: 2-spheres in 5-manifolds (with D. Kosanović and P. Teichner) 

Preprint (2023)

Introduction to Whitney towers 

Winter Braids Lecture Notes (2020)

Clasper concordance, Whitney towers and repeating Milnor invariants (with J. Conant and P. Teichner)

submitted preprint (2020)

Homotopy versus isotopy: spheres with duals in 4-manifolds (with P. Teichner)

Duke Math J 171 (2019)

The group of disjoint 2-spheres in 4-space (with P. Teichner)

Annals of Mathematics Vol 190 (2019)

Cochran's Beta-invariants via twisted Whitney towers (with J. Conant and P. Teichner)

Journal of Knot Theory and Its Ramifications Vol. 26 (2017)

Geometric filtrations of string links and homology cylinders (with J. Conant and P. Teichner)

Quantum Topology Volume 7 Issue 2 (2016)

Pulling apart 2-spheres in 4-manifolds (with P. Teichner)

Documenta Mathematica Vol. 19/31 (2014) 941–992.

Milnor invariants and twisted Whitney towers (with J. Conant and P. Teichner)

Journal of Topology 7 no. 1 (2014) 187–224.

Tree homology and a conjecture of Levine (with J. Conant and P. Teichner)

Geometry and Topology 16 (2012) 555–600.

Universal quadratic forms and Whitney tower intersection invariants (with J. Conant and P. Teichner)

Proceedings of the Freedman Fest, G&T Monographs, 18 (2012) 35–60.

Whitney tower concordance of classical links (with J. Conant and P. Teichner)

Geometry and Topology 16 (2012) 1419–1479.

Higher-order intersections in low-dimensional topology (with J. Conant and P. Teichner)

Proceedings of the National Academy of Sciences Vol. 108, no. 20, (2011) 8131–8138.

Can one hear the sound of a Theorem? 

AMS Notices Aug (2011) (and `The Best writing on Mathematics' 2012, Princeton University Press)

Stable concordance of knots in 3-manifolds 

Algebraic and Geometric Topology 10 (2010) 373–432.

Jacobi identities in low-dimensional topology (with J. Conant and P. Teichner)

Compositio Mathematica 143 Part 3 (2007) 780–10.

Whitney towers and gropes in 4-manifolds

Transactions of the American Mathematical Society 358 (2006) 4251–278.

Simple Whitney towers, half-gropes and the Arf invariant of a knot

Pacific Journal of Mathematics Vol. 222 No. 1 Nov 2005, 169–184.

Whitney towers and the Kontsevich integral (with P. Teichner) 

Proceedings of a conference in honor of Andrew Casson, UT Austin 2003, 

Geometry and Topology Monograph Series Vol. 7 (2004) 101–134.

Algebraic linking numbers of knots 3-manifolds

Algebraic and Geometric Topology Vol. 3 (2003) 921–968.

Higher order intersection numbers of 2-spheres in 4-manifolds (with P. Teichner)

Algebraic and Geometric Topology Vol. 1 (2001) 1–29.

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