A Slicing Obstruction from the 10/8+4 Theorem

Truong, Linh

doi:10.1007/978-3-030-62497-2_8

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Donald and Vafaee [11] used the 10/8-theorem to derive a new sliceness obstruction (in the four-ball). Their result was strengthened by Truong in [65], by applying a refinement of Furuta's theorem (called the 10/8 + 4 theorem) due to Hopkins-Lin-Shi-Xu [27].…”

Section: Introductionmentioning

confidence: 99%

Relative genus bounds in indefinite four-manifolds

Manolescu,

Marengon,

Piccirillo

2020

Preprint

View full text Add to dashboard Cite

Given a closed four-manifold X with an indefinite intersection form, we consider smoothly embedded surfaces in X \ B4 , with boundary a knot K ⊂ S 3 . We give several methods to bound the genus of such surfaces in a fixed homology class. Our techniques include adjunction inequalities and the 10/8 + 4 theorem. In particular, we present obstructions to a knot being H-slice (that is, bounding a null-homologous disk) in a four-manifold and show that the set of H-slice knots can detect exotic smooth structures on closed 4-manifolds.

show abstract

Section: Introductionmentioning

confidence: 99%