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Frontiers in Geometry and Topology -

Frontiers in Geometry and Topology

Buch | Softcover
284 Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-7087-6 (ISBN)
CHF 225,45 inkl. MwSt
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Proceedings stemming from an influential summer school and research conference capture the vibrant interplay among analysis, geometry, and topology during a milestone celebration. Scholars delved into knot theory, manifold topology, various homology theories, and pseudoholomorphic curve methods, uniting diverse mathematical ideas.
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.

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.

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

Erscheinungsdatum
Reihe/Serie Proceedings of Symposia in Pure Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7087-X / 147047087X
ISBN-13 978-1-4704-7087-6 / 9781470470876
Zustand Neuware
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