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Explore the intricacies of Heegaard splittings in this hour-long conference talk by Jennifer Schultens from UC Davis. Delve into the study of these mathematical structures beyond their traditional isotopy of splitting surfaces, focusing on their examination through oriented isotopy. Investigate the compelling question of whether the two sides of a Heegaard splitting can be exchanged or "flipped" via such an isotopy. Gain insights into the original context where this question emerged and examine specific examples that provide answers to this intriguing problem in low-dimensional topology.
