Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations

Tülin Altunöz

doi:10.17776/csj.1520855

EN

Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations

Abstract

In this paper, we study minimal simply connected 4-manifolds with b_2^+=3 which admit genus-4 Lefschetz fibrations over the 2-sphere. We first explicitly construct a genus-4 Lefschetz fibration over the 2-sphere using the monodromy of generalized Matsumoto fibration of genus 3 and the monodromy of the smallest genus-2 fibration given by Baykur and Korkmaz. We then construct two genus-4 Lefschetz fibrations over the 2-sphere that are exotic minimal symplectic 4-manifolds belonging to the homeomorphism classes of 3CP^2#15¯(CP^2 ) and 3CP^2#14¯(CP^2 ) by performing the fiber sum operation and then lantern substitution.

Keywords

Lefschetz fibrations, Symplectic 4-manifolds, Exotic manifolds, Mapping class groups.

References

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Tülin Altunöz ^*
0000-0002-9116-2253
Türkiye

Publication Date

December 30, 2024

Submission Date

July 23, 2024

Acceptance Date

December 26, 2024

Published in Issue

Year 2024 Volume: 45 Number: 4

DOI

https://doi.org/10.17776/csj.1520855

IZ

https://izlik.org/JA35SD44FJ

APA

Altunöz, T. (2024). Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations. Cumhuriyet Science Journal, 45(4), 796-802. https://doi.org/10.17776/csj.1520855

AMA

1.Altunöz T. Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations. CSJ. 2024;45(4):796-802. doi:10.17776/csj.1520855

Chicago

Altunöz, Tülin. 2024. “Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations”. Cumhuriyet Science Journal 45 (4): 796-802. https://doi.org/10.17776/csj.1520855.

EndNote

Altunöz T (December 1, 2024) Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations. Cumhuriyet Science Journal 45 4 796–802.

IEEE

[1]T. Altunöz, “Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations”, CSJ, vol. 45, no. 4, pp. 796–802, Dec. 2024, doi: 10.17776/csj.1520855.

ISNAD

Altunöz, Tülin. “Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations”. Cumhuriyet Science Journal 45/4 (December 1, 2024): 796-802. https://doi.org/10.17776/csj.1520855.

JAMA

1.Altunöz T. Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations. CSJ. 2024;45:796–802.

MLA

Altunöz, Tülin. “Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations”. Cumhuriyet Science Journal, vol. 45, no. 4, Dec. 2024, pp. 796-02, doi:10.17776/csj.1520855.

Vancouver

1.Tülin Altunöz. Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations. CSJ. 2024 Dec. 1;45(4):796-802. doi:10.17776/csj.1520855

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

Exotic 4 -Manifolds from Genus-4 Lefschetz Fibrations

Abstract

Keywords

References

Details

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Acceptance Date

Published in Issue

DOI

IZ

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