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Intersection forms of definite manifolds bounded by lens spaces

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JungHwan Park
Georgia Institute of Technology (GIT)
Wed, 2019-09-18 10:30 - 10:55
MPIM Lecture Hall

We find some restrictions on the intersection forms of smooth definite manifolds bounded by rational homology spheres which are rationally cobordant to lens spaces. As a first consequence, we show that several natural maps to the rational homology cobordism group have infinite rank cokernels. Further, we show that there is no $n$ such that every lens space smoothly embeds in $n$ copies of the complex projective plane. This is joint work with Paolo Aceto and Daniele Celoria.

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