Arunima Ray

activity

20122026

most citedNull, recursively starlike-equivalent decompositions shrink

33 citations · 203 across the 22 of their papers we have counts for

collaborators

26 papers

math.GT2026

Stably exotic fillings of 3-manifolds

Daniel Kasprowski, Patrick Orson, Mark Powell +1

We investigate which 3-manifolds bound 4-manifolds that are homeomorphic but not stably diffeomorphic, where stabilising means taking connected sum with copies of $S^{2} \times S^{2}$ .…

math.GT2025

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group

Jonathan Hillman, Daniel Kasprowski, Mark Powell +1

We give a criterion on a group $π$ and a homomorphism $w : π \to C_{2}$ under which closed $4$ -manifolds with fundamental group $π$ and orientation character $w$ are classified u…

math.GT2022★ 2 cited

Gluck twists on concordant or homotopic spheres

Daniel Kasprowski, Mark Powell, Arunima Ray

Let $M$ be a compact $4$ -manifold and let $S$ and $T$ be embedded $2$ -spheres in $M$ , both with trivial normal bundle. We write $M_{S}$ and $M_{T}$ for the $4$ -manifolds obtained by th…

math.GT2022★ 9 cited

Counterexamples in 4-manifold topology

Daniel Kasprowski, Mark Powell, Arunima Ray

We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds a…

math.GT2022★ 8 cited

Embedding surfaces in 4-manifolds

Daniel Kasprowski, Mark Powell, Arunima Ray +1

We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is…

math.GT2021★ 2 cited

Slicing knots in definite 4-manifolds

Alexandra Kjuchukova, Allison N. Miller, Arunima Ray +1

We study the $CP^{2}$ -slicing number of knots, i.e. the smallest $m \geq 0$ such that a knot $K \subseteq S^{3}$ bounds a properly embedded, null-homologous disk in a punctured…

math.GT2020

Isotopy and equivalence of knots in 3-manifolds

Paolo Aceto, Corey Bregman, Christopher W. Davis +2

We show that in a prime, closed, oriented 3-manifold M, equivalent knots are isotopic if and only if the orientation preserving mapping class group is trivial. In the case of irred…

math.GT2020★ 7 cited

The 4-dimensional disc embedding theorem and dual spheres

Mark Powell, Arunima Ray, Peter Teichner

We modify the proof of the disc embedding theorem for $4$ -manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to constru…

math.GT2020★ 4 cited

Embedding spheres in knot traces

Peter Feller, Allison N. Miller, Matthias Nagel +3

The trace of $n$ -framed surgery on a knot in $S^{3}$ is a 4-manifold homotopy equivalent to the 2-sphere. We characterise when a generator of the second homotopy group of such a mani…

math.GT2019★ 33 cited

Null, recursively starlike-equivalent decompositions shrink

Jeffrey Meier, Patrick Orson, Arunima Ray

A subset $E$ of a metric space $X$ is said to be starlike-equivalent if it has a neighbourhood which is mapped homeomorphically into $R^{n}$ for some $n$ , sending $E$ to a s…

math.GT2019★ 11 cited

Average four-genus of two-bridge knots

Sebastian Baader, Alexandra Kjuchukova, Lukas Lewark +2

We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of two-bridge knots tends to zero as the crossing number tends to infinity.

math.GT2018★ 1 cited

On distinct finite covers of 3-manifolds

Stefan Friedl, JungHwan Park, Bram Petri +2

Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete class…

math.GT2018★ 1 cited

Linear independence of cables in the knot concordance group

Christopher W. Davis, JungHwan Park, Arunima Ray

We produce infinite families of knots ${K^{i}}_{i \geq 1}$ for which the set of cables ${K_{p, 1}^{i}}_{i, p \geq 1}$ is linearly independent in the knot concordance group. We arrange…

math.GT2018

Pretzel links, mutation, and the slice-ribbon conjecture

Paolo Aceto, Min Hoon Kim, JungHwan Park +1

Let p and q be distinct integers greater than one. We show that the 2-component pretzel link P(p,q,-p,-q) is not slice, even though it has a ribbon mutant, by using 3-fold branched…

math.CO2018★ 2 cited

Multiple addition, deletion and restriction theorems for hyperplane arrangements

Takuro Abe, Hiroaki Terao

In the study of free arrangements, the most useful result to construct/check free arrangements is the addition-deletion theorem. Recently, the multiple version of the addition theo…

math.GT2017★ 9 cited

Concordance of knots in $S^{1} \times S^{2}$

Christopher W. Davis, Matthias Nagel, JungHwan Park +1

We establish a number of results about smooth and topological concordance of knots in $S^{1} \times S^{2}$ . The winding number of a knot in $S^{1} \times S^{2}$ is defined to be its class in…

math.GT2016★ 3 cited

4-dimensional analogues of Dehn's lemma

Arunima Ray, Daniel Ruberman

We investigate certain $4$ -dimensional analogues of the classical $3$ -dimensional Dehn's lemma, giving examples where such analogues do or do not hold, in the smooth and topologica…

math.GT2016

A family of non-split topologically slice links with arbitrarily large smooth slice genus

JungHwan Park, Arunima Ray

We construct an infinite family of topologically slice 2--component boundary links $ℓ_{i}$ , none of which is smoothly concordant to a split link, such that $g_{4} (ℓ_{i}) = i$ .

math.GT2016★ 11 cited

On the Upsilon invariant and satellite knots

Peter Feller, JungHwan Park, Arunima Ray

We study the effect of satellite operations on the Upsilon invariant of Ozsvath-Stipsicz-Szabo. We obtain results concerning when a knot and its satellites are independent; for exa…

math.GT2015

A new family of links topologically, but not smoothly, concordant to the Hopf link

Christopher W. Davis, Arunima Ray

We give new examples of 2-component links with linking number one and unknotted components that are topologically concordant to the positive Hopf link, but not smoothly so - in fac…

math.GT2015★ 11 cited

Shake slice and shake concordant knots

Tim D. Cochran, Arunima Ray

A crucial step in the surgery-theoretic program to classify smooth manifolds is that of representing a middle--dimensional homology class by a smoothly embedded sphere. This step f…

math.GT2014★ 12 cited

Satellite operators with distinct iterates in smooth concordance

Arunima Ray

Let P be a knot in an unknotted solid torus (i.e. a satellite operator or pattern), K a knot in S^3 and P(K) the satellite of K with pattern P. For any satellite operator P, this c…

math.GT2013★ 33 cited

Casson towers and filtrations of the smooth knot concordance group

Arunima Ray

The n-solvable filtration ${F_{n}}_{n = 0}^{\infty}$ of the smooth knot concordance group (denoted by $C$ ), due to Cochran-Orr-Teichner, has been instrumental in th…

math.GT2013★ 15 cited

Satellite operators as group actions on knot concordance

Christopher W. Davis, Arunima Ray

Any knot in a solid torus, called a pattern or satellite operator, acts on knots in the 3-sphere via the satellite construction. We introduce a generalization of satellite operator…

Stably exotic fillings of 3-manifolds

Homotopy classification of 4-manifolds with 3-manifold fundamental group

Gluck twists on concordant or homotopic spheres

Counterexamples in 4-manifold topology

Embedding surfaces in 4-manifolds

Slicing knots in definite 4-manifolds

Isotopy and equivalence of knots in 3-manifolds

The 4-dimensional disc embedding theorem and dual spheres

Embedding spheres in knot traces

Null, recursively starlike-equivalent decompositions shrink

Average four-genus of two-bridge knots

On distinct finite covers of 3-manifolds

Linear independence of cables in the knot concordance group

Pretzel links, mutation, and the slice-ribbon conjecture

Multiple addition, deletion and restriction theorems for hyperplane arrangements

Concordance of knots in S1×S2

4-dimensional analogues of Dehn's lemma

A family of non-split topologically slice links with arbitrarily large smooth slice genus

On the Upsilon invariant and satellite knots

A new family of links topologically, but not smoothly, concordant to the Hopf link

Shake slice and shake concordant knots

Satellite operators with distinct iterates in smooth concordance

Casson towers and filtrations of the smooth knot concordance group

Satellite operators as group actions on knot concordance

Homotopy classification of $4$ -manifolds with $3$ -manifold fundamental group

Concordance of knots in $S^{1} \times S^{2}$