Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-existence theorems on infinite order corks   Suppose that $X,X'$ are simply-connected closed exotic 4-manifolds. It is
well-known that $X'$ is obtained by an order 2 cork twist of $X$. We give an
infinite exotic family of 4-manifolds not generated by any infinite order cork.
This is the first example admitting such a condition. We prove a necessary
condition of 4-dimensional OS-invariants for a family to be generated by an
infinite order cork and give non-contractible relatively exotic 4-manifolds
that are never induced by any cork. Furthermore, we prove an estimate of the
number of OS-invariants of 4-manifolds generated by a cork.

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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: physics