Simple embeddings of rational homology balls and antiflips

DOI10.2140/agt.2021.21.1857OpenAlexW2938995569MaRDI QIDQ1983582

Giancarlo Urzúa, Heesang Park, Dongsoo Shin

Publication date: 10 September 2021

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04927

zbMATH Keywords

rational homology ballantiflipMori sequence

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14Jxx) Differentiable structures in differential topology (57R55) Embeddings in differential topology (57R40) Minimal model program (Mori theory, extremal rays) (14E30) Deformations of singularities (14B07) General topology of 4-manifolds (57K40)

Cites Work

• Smooth embeddings of rational homology balls
• \(\mathbb{Q}\)-Gorenstein smoothings of surfaces and degenerations of curves
• Markov numbers and Lagrangian cell complexes in the complex projective plane
• Threefolds and deformations of surface singularities
• Smoothings of normal surface singularities
• Milnor fibers and symplectic fillings of quotient surface singularities
• SMOOTHLY EMBEDDED RATIONAL HOMOLOGY BALLS
• Flipping surfaces
• Identifying neighbors of stable surfaces
• Smoothable del Pezzo surfaces with quotient singularities
• Equivariant embeddings of rational homology balls
• Rational homology balls in $2$-handlebodies
• SMOOTH, NONSYMPLECTIC EMBEDDINGS OF RATIONAL BALLS IN THE COMPLEX PROJECTIVE PLANE

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