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July, 2020 Explicit constructions of bordism of Milnor hypersurface $H_{1,n}$ and $\mathbb{C} P^1 \times \mathbb{C} P^{n-1}$
Grigory SOLOMADIN
J. Math. Soc. Japan 72(3): 765-776 (July, 2020). DOI: 10.2969/jmsj/81628162

Abstract

In the present paper we construct two new explicit complex bordisms between any two projective bundles over $\mathbb{C} P^1$ of the same complex dimension, including the Milnor hypersurface $H_{1,n}$ and $\mathbb{C} P^1 \times \mathbb{C} P^{n-1}$. These constructions reduce the bordism problem to the null-bordism of some projective bundle over $\mathbb{C} P^1$ with the non-standard stably complex structure.

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Grigory SOLOMADIN. "Explicit constructions of bordism of Milnor hypersurface $H_{1,n}$ and $\mathbb{C} P^1 \times \mathbb{C} P^{n-1}$." J. Math. Soc. Japan 72 (3) 765 - 776, July, 2020. https://doi.org/10.2969/jmsj/81628162

Information

Received: 9 November 2018; Published: July, 2020
First available in Project Euclid: 8 November 2019

zbMATH: 07257209
MathSciNet: MR4125844
Digital Object Identifier: 10.2969/jmsj/81628162

Subjects:
Primary: 57R77
Secondary: 55R10

Rights: Copyright © 2020 Mathematical Society of Japan

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Vol.72 • No. 3 • July, 2020
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