C. Livingston

发表

Chiral smoothings of knots

C. Livingston, 2018, Proceedings of the Edinburgh Mathematical Society.

CHAPTER 7 A Survey of Classical Knot Concordance

C. Livingston, 2008 .

A Survey of Classical Knot Concordance

C. Livingston, 2003, math/0307077.

Identifying Jungial Personality Type by the Instrument of Self-Report

C. Livingston, 1983 .

KNOTS WHICH ARE NOT CONCORDANT TO THEIR REVERSES

C. Livingston, 1983 .

Vassiliev invariants of two component links and the Casson-Walker invariant

C. Livingston, P. Kirk, 1997 .

Knot invariants in 3-manifolds and essential tori

C. Livingston, P. Kirk, 2001 .

Type 1 knot invariants in 3-manifolds

C. Livingston, P. Kirk, 1998 .

Peripherally specified homomorphs of knot groups

C. Livingston, Dennis Johnson, 1989 .

Twisted Alexander polynomials of periodic knots

J. Hillman, C. Livingston, S. Naik, 2004, math/0412380.

Infinite order amphicheiral knots

C. Livingston, 2000, math/0008166.

Knots with finite weight commutator subgroups

C. Livingston, 1987 .

Splitting the concordance group of algebraically slice knots

C. Livingston, 2003, math/0305363.

NONSPLITTABILITY OF THE RATIONAL HOMOLOGY COBORDISM GROUP OF 3-MANIFOLDS

C. Livingston, Se-Goo Kim, 2012, 1211.3712.

The geography problem for 4-manifolds with specified fundamental group

C. Livingston, P. Kirk, 2006, math/0608103.

A Survey of Classical Knot Concordance

C. Livingston, 2003, math/0307077.

Concordance and mutation

C. Livingston, P. Kirk, 1999, math/9912174.

Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation

C. Livingston, Christopher Herald, P. Kirk, 2008, 0804.1355.

Twisted Alexander polynomials of periodic knots

J. Hillman, C. Livingston, Swatee Naik, 2004, math/0412380.

THE GASSNER REPRESENTATION FOR STRING LINKS

C. Livingston, P. Kirk, Z. Wang, 1998, math/9806035.

Semigroups, d‐invariants and deformations of cuspidal singular points of plane curves

Charles Livingston, Maciej Borodzik, C. Livingston, 2013, J. Lond. Math. Soc..

Computations of the Ozsv ath{Szab o knot concordance invariant

C. Livingston, 2004 .

Critical point counts in knot cobordisms: abelian and metacyclic invariants

Charles Livingston, C. Livingston, 2021, Transactions of the American Mathematical Society, Series B.

An Upsilon torsion function for knot Floer homology

C. Livingston, S. Allen, 2022, 2208.04768.

Primary decompositions of knot concordance

C. Livingston, 2019, 1911.08280.

An involutive upsilon knot invariant

C. Livingston, Matthew Hogancamp, 2017, 1710.08360.

Concordances from connected sums of torus knots to L-space knots

C. Livingston, 2017, 1707.06490.

Secondary Upsilon invariants of knots

C. Livingston, Se-Goo Kim, 2016, 1610.05343.

Notes on the knot concordance invariant Upsilon

C. Livingston, 2014, 1412.0254.

Plane algebraic curves of arbitrary genus via Heegaard Floer homology

C. Livingston, M. Hedden, Maciej Borodzik, 2014, 1409.2111.

HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES

C. Livingston, Maciej Borodzik, 2013, Forum of Mathematics, Sigma.

Topologically slice knots of smooth concordance order two

C. Livingston, M. Hedden, Se-Goo Kim, 2012, 1212.6628.

Topologically slice knots with nontrivial Alexander polynomial

C. Livingston, Daniel Ruberman, M. Hedden, 2010, 1001.1538.

Knot Theory by Charles Livingston

Charles Livingston, C. Livingston, 1993 .

TWISTED ALEXANDER INVARIANTS, REIDEMEISTER TORSION, AND CASSON–GORDON INVARIANTS

Charles Livingston, Paul Kirk, C. Livingston, 1999 .

Connected sums of codimension two locally flat submanifolds

C. Livingston, 2021, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Unknown values in the table of knots

Jae Choon Cha, C. Livingston, 2005, math/0503125.

MAPS OF SURFACE GROUPS TO FINITE GROUPS WITH NO SIMPLE LOOPS IN THE KERNEL

C. Livingston, 2000, math/0002162.

Signed clasp numbers and four-genus bounds

C. Livingston, 2022, 2206.10432.

The concordance genus of knots

C. Livingston, 2001, math/0107141.

Surfaces bounding the unlink.

C. Livingston, 1982 .

Stably irreducible surfaces in $S^4$.

C. Livingston, 1985 .

INDECOMPOSABLE SURFACES IN 4-SPACE

C. Livingston, 1988 .

Alexander polynomials of periodic knots

James F. Davis, C. Livingston, 1991 .

An algebraic link concordance group for (p, 2p−1)-links in S2p+1

C. Livingston, P. Gilmer, 1991, Proceedings of the Edinburgh Mathematical Society.

Group actions on fibered three-manifolds

C. Livingston, A. Edmonds, 1983 .

Signature invariants related to the unknotting number

C. Livingston, 2017, Pacific Journal of Mathematics.

The Casson-Gordon invariant and link concordance

C. Livingston, P. Gilmer, 1992 .

Knot signature functions are independent

Jae Choon Cha, C. Livingston, 2002, math/0208225.

Algebraic and Heegaard–Floer invariants of knots with slice Bing doubles

Jae Choon Cha, C. Livingston, Daniel Ruberman, 2006, Mathematical Proceedings of the Cambridge Philosophical Society.

Links not concordant to boundary links

C. Livingston, 1990 .

KNOT MUTATION: 4-GENUS OF KNOTS AND ALGEBRAIC CONCORDANCE

C. Livingston, Se-Goo Kim, 2003, math/0310100.

TWISTED KNOT POLYNOMIALS: INVERSION, MUTATION AND CONCORDANCE

C. Livingston, P. Kirk, 1999 .

Unknotting with a single twist

C. Livingston, S. Allen, 2020, L’Enseignement Mathématique.

On surgery curves for genus-one slice knots

C. Livingston, P. Gilmer, 2011, 1109.1518.

Discriminants of Casson–Gordon invariants

C. Livingston, P. Gilmer, 1992, Mathematical Proceedings of the Cambridge Philosophical Society.

On embedding 3-manifolds in 4-space

C. Livingston, P. Gilmer, 1983 .

Null-homologous unknottings

Charles Livingston, C. Livingston, 2019, Topology and Geometry.

More 3-manifolds with multiple knot-surgery and branched-cover descriptions

C. Livingston, 1982, Mathematical Proceedings of the Cambridge Philosophical Society.

Intrinsic symmetry groups of links

C. Livingston, 2021, Algebraic & Geometric Topology.

Concordance of Bing Doubles and Boundary Genus†

C. Livingston, C. V. Cott, 2010, Mathematical Proceedings of the Cambridge Philosophical Society.

The stable 4-genus of knots

C. Livingston, 2009, 0904.3054.

New examples of non–slice, algebraically slice knots

C. Livingston, 2001 .

Seifert forms and concordance

C. Livingston, 2001, math/0101035.

Examples in Concordance

C. Livingston, 2001 .

Pseudo-slice knots

C. Livingston, 2000, math/0007088.

The stable 4 – genus of knots C

Danny Calegari, C. Livingston, 2010 .

In nite Order Amphicheiral Knots

C. Livingston, 2022 .

Knot reversal acts non-trivially on the concordance group of topologically slice knots

C. Livingston, Tae-Hyung Kim, 2022, Selecta Mathematica.

Knot reversal acts non-trivially on the concordance group of topologically slice knots

C. Livingston, Taehee Kim, 2019, Selecta Mathematica.

Stabilizing Four-Torsion in Classical Knot Concordance

C. Livingston, Swatee Naik, 2009, 0908.0005.

The concordance genus of a knot, II

C. Livingston, 2008, 0807.0765.

The algebraic concordance order of a knot

C. Livingston, 2008, 0806.3068.

KNOT CONCORDANCE AND TORSION

C. Livingston, Swatee Naik, 1999, math/9911241.

Order 2 algebraically slice knots

C. Livingston, 1998, math/9808059.

Obstructing four-torsion in the classical knot concordance group

C. Livingston, Swatee Naik, 1999 .

3 0 N ov 1 99 9 Knot Concordance and Torsion

C. Livingston, Swatee Naik, 1999 .

Order 2 Algebraically Slice Knots 1 Basic Building Blocks

C. Livingston, 1998 .

Knot reversal and mutation act non-trivially on the concordance group of topologically slice knots

C. Livingston, 2019 .

The cobordism distance between a knot and its reverse

C. Livingston, 2020, 2011.12287.

Signature functions of knots

C. Livingston, 2017, 1709.00732.

Doubly slice knots with low crossing number

C. Livingston, J. Meier, 2015, 1504.03368.

Slice knots with distinct Ozsvath-Szabo and Rasmussen Invariants

C. Livingston, 2006, math/0602631.

Branched covers and rational homology balls

C. Livingston, 2022, 2202.06713.

The concordance classification of low crossing number knots

C. Livingston, P. Kirk, J. Collins, 2013, 1309.7252.

Non-slice linear combinations of algebraic knots

C. Livingston, M. Hedden, P. Kirk, 2009, 0909.1247.

Homology cobordisms of 3-manifolds, knot concordances, and prime knots

C. Livingston, 1981 .

The nonorientable 4‐genus of knots

Patrick M. Gilmer, Charles Livingston, C. Livingston, 2010, J. Lond. Math. Soc..

Rank-expanding satellite operators on the topological knot concordance group

C. Livingston, 2022, 2211.04272.

Embedding punctured lens spaces in four-manifolds

C. Livingston, A. Edmonds, 1996 .

Knotted symmetric graphs

C. Livingston, 1995 .

Abelian invariants of satellite knots

C. Livingston, P. Melvin, 1985 .

Observations on Lickorish knotting of contractible 4-manifolds

C. Livingston, 2001, math/0111065.

Knot concordances and alternating knots

C. Livingston, Stefan Friedl, Raphael Zentner, 2015, 1512.08414.

Computations of the OzsvthSzab knot concordance invariant

C. Livingston, 2003, math/0311036.

Ozsváth-Szabó and Rasmussen invariants of doubled knots

C. Livingston, Swatee Naik, 2005, math/0505361.

Splitting numbers of links and the four-genus

C. Livingston, 2016, 1609.04353.

The four-genus of connected sums of torus knots

Cornelia A. Van Cott, C. Livingston, 2015, Mathematical Proceedings of the Cambridge Philosophical Society.

The slicing number of a knot

C. Livingston, 2002, math/0206072.

The free genus of doubled knots

C. Livingston, 1988 .

Algebraic Knots Are Algebraically Dependent

C. Livingston, P. Melvin, 1983 .

Cobordism distance on the projective space of the knot concordance group

Charles Livingston, C. Livingston, 2021, Canadian Journal of Mathematics.

Obstructing 4-torsion in the classical knot concordance group

C. Livingston, Swatee Naik, 1998, math/9802071.

Signature jumps and Alexander polynomials for links

C. Livingston, P. Gilmer, 2015, 1508.04394.

Knot 4--genus and the rank of classes in W(Q(t))

C. Livingston, 2009, 0912.1022.

THIS PAPER presents new obstructions to embedding 3-manifolds in Cspace as well as some constructions for embedding. It has long been known that not all 3-manifolds 3-MANIFOLDS IN 4-SPACE

C. Livingston, P. Gilmer, 1983 .

Concordance crosscap numbers of knots and the Alexander polynomial

C. Livingston, 2007, math/0703109.

Enhanced Linking Numbers

Charles Livingston, C. Livingston, 2003, Am. Math. Mon..

Four-manifolds of large negative deficiency

C. Livingston, 2003, Mathematical Proceedings of the Cambridge Philosophical Society.

Stabilizing surface symmetries.

C. Livingston, 1985 .

STABLY IRREDUCIBLE SURFACES IN S

C. Livingston, A. Casson, 2010 .

Companionship and knot group representations

C. Livingston, 1987 .

Symmetric representations of knot groups

C. Livingston, A. Edmonds, 1984 .