This volume contains the proceedings of the summer school and research conference ""Frontiers in Geometry and Topology"", celebrating the sixtieth birthday of Tomasz Mrowka, which was held from August 1-12, 2022, at the Abdus Salam International Centre for Theoretical Physics (ICTP).

The summer school featured ten lecturers and the research conference featured twenty-three speakers covering a range of topics. A common thread, reflecting Mrowka's own work, was the rich interplay among the fields of analysis, geometry, and topology.

Articles in this volume cover topics including knot theory; the topology of three and four-dimensional manifolds; instanton, monopole, and Heegaard Floer homologies; Khovanov homology; and pseudoholomorphic curve theory.
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At ICTP, a vibrant summer school and research conference spurred dynamic dialogue among experts in geometry, topology, and analysis. Lectures explored knot theory, three? and four-dimensional manifold topology, and modern homology theories while highlighting a celebrated legacy within the field.
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  • Articles
  • Francesco Lin, Lectures on families of Dirac operators and applications
  • Thomas Walpuski, Lectures on generalised Seiberg-Witten equations
  • Nima Anvari, A splitting formula in instanton Floer homology
  • Nima Anvari and Ian Hambleton, Finite group actions on $4$-manifolds and equivariant bundles
  • Dave Auckly and Daniel Ruberman, Exotic families of embeddings
  • John A. Baldwin and Steven Sivek, An instanton take on some knot detection results
  • Hans U. Boden, Christopher M. Herald and Paul Kirk, Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
  • Lothar Gottsche, Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants
  • Kristen Hendricks, Jennifer Hom, Matthew Stoffregen and Ian Zemke, A note on PL-disks and rationally slice knots
  • Robert Lipshitz and Sucharit Sarkar, Khovanov homology of strongly invertible knots and their quotients
  • Paolo Lisca and Andrea Parma, On almost complex embeddings of rational homology balls
  • Maggie Miller, Explicitly describing fibered 3-manifolds through families of singularly fibered surfaces
  • Andras I. Stipsicz and Zoltan Szabo, On the minimal genus problem in four-manifolds
  • Joshua Wang, The Gysin sequence and the $\mathfrak {sl}(N)$ homology of $T(2,m)$
  • Claudius Zibrowius, Heegaard Floer multicurves of double tangles
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Produktdetaljer

ISBN
9781470470876
Publisert
2024-08-31
Utgiver
American Mathematical Society
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
284

Biografisk notat

Paul M. N. Feehan, Rutgers, The State University of New Jersey, Piscataway, NJ, Lenhard L. Ng, Duke University, Durham, NC, and Peter S. Ozsvath, Princeton University, NJ.