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.
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