Mod \(p\) homology of \(F_{4}\)-gauge groups over \(S^4\)

DOI10.1016/j.topol.2019.06.010zbMath1423.55023OpenAlexW2948489143WikidataQ127726826 ScholiaQ127726826MaRDI QIDQ2315295

Younggi Choi

Publication date: 2 August 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.06.010

zbMATH Keywords

gauge groupSerre spectral sequenceiterated loop spaceexceptional Lie group \(F_4\)

Mathematics Subject Classification ID

Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Cites Work

• Unnamed Item
• A note on the Samelson product in the classical groups
• A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups
• On loop spaces without p torsion
• The homology of iterated loop spaces
• The kernel of the loop suspension map
• On the collapse of certain Eilenberg-Moore spectral sequences.
• Three contributions to the homotopy theory of the exceptional Lie groups \(G_ 2\) and \(F_ 4\)
• Mod \(p\) decompositions of gauge groups
• The homotopy types of \(G_{2}\)-gauge groups
• Embeddings of $\mathrm {DI}_2$ in $\mathrm {F}_4$
• Counting Homotopy Types of Gauge Groups
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• HOMOLOGY OF THE GAUGE GROUP OF EXCEPTIONAL LIE GROUP G₂
• 𝐻-spaces with torsion
• Function spaces related to gauge groups
• TORSION IN THE HOMOLOGY OF THE DOUBLE LOOP SPACES OF COMPACT SIMPLE LIE GROUPS
• Odd primary homotopy types of the gauge groups of exceptional Lie groups
• The Yang-Mills equations over Riemann surfaces
• On Differential Hopf Algebras

This page was built for publication: Mod \(p\) homology of \(F_{4}\)-gauge groups over \(S^4\)