The n-Extent of S³(p,m)

Authors

Paul Jung, Rice University
Tucker McElroy, Columbia College
Jason Samuels, Duke University

Abstract

In this paper we estimate xt_n (S³ (p, m)), the n-extent of various lens spaces. We give numerical evidence for extending certain results of D. G. Yang [Duke Math. J., 74 (1994), 531-545.] to primes p between 11 and 37. We explain the implication of our results for the topology of 4-dimensional manifolds of positive sectional curvature with nontrivial isometric Z_p-actions.

Faculty Advisor Name

M. Kalka

Faculty Advisor Institution

Tulane University

Second Faculty Advisor Name

D. G. Yang

Second Faculty Advisor Institution

Tulane University

Suggested Mathematics Subject Classification(s)

53C20

Comments

Research supported by NSF Grant number DMS9423945 under the REU program. The authors would like to thank professors M. Kalka and D. G. Yang for their invaluable help with this project.

Recommended Citation

Paul Jung, Tucker McElroy, and Jason Samuels, The n-Extent of S³(p,m), Furman University Electronic Journal of Undergraduate Mathematics, 1 (2016), 1-11. Available at: https://scholarexchange.furman.edu/fuejum/vol1/iss1/1