Geodesic
𝕋2–cobordism of quasitoric 4–manifolds
Sarkar, Soumen1
1Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, 373-1 Guseong-dong, Yuseong-gu, Daejeon-305701, Republic of Korea
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2003-2025
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We show the T2–cobordism group of the category of 4–dimensional quasitoric manifolds is generated by the T2–cobordism classes of ℂℙ2. We construct nice oriented T2 manifolds with boundary whose boundaries are the Hirzebruch surfaces. The main tool is the theory of quasitoric manifolds.

DOI : 10.2140/agt.2012.12.2003
Classification : 55N22, 57R90
Keywords: torus action, quasitoric manifold, cobordism group

Sarkar, Soumen  1

1 Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, 373-1 Guseong-dong, Yuseong-gu, Daejeon-305701, Republic of Korea 
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Sarkar, Soumen. 𝕋2–cobordism of quasitoric 4–manifolds. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2003-2025. doi: 10.2140/agt.2012.12.2003

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