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Combinatorial and Gauge theoretical methods in low dimensional topology and geometry

Some exotic non-orientable surfaces in S⁴

speaker: Gordana Matić (University of Georgia at Athens)

abstract: Standard embeddings of non-orientable surfaces in S⁴ are those that are obtained by connect summing two standard embeddings of RP² with Euler classes -2 or +2. Conway-Orson-Powell show that if a locally flat non-orientable surface F in S⁴ has non-extremal Euler class, and the fundamental group of the complement is Z2, then it is locally flat isotopic to a standard embedding. We will review the history of constructing exotic embeddings of non-orientable surfaces, and describe some new examples obtained in joint work with Ozturk, Reyes, Stipsicz and Urzua.

timetable:
Fri 7 Jun, 11:00 - 12:00, Aula Dini
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