Smoothly embedded rational homology balls
Heesang Park, Jongil Park, Dongsoo Shin
TL;DR
This paper demonstrates the existence of smoothly embedded rational homology balls within neighborhoods of specific linear chains of 2-spheres, utilizing advanced techniques from the minimal model program in algebraic geometry.
Contribution
It introduces a novel application of the minimal model program to construct smoothly embedded rational homology balls in complex algebraic varieties.
Findings
Existence of smoothly embedded rational homology balls proven
Application of minimal model program techniques in this context
Construction within neighborhoods of linear chains of 2-spheres
Abstract
In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth -spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology