Topology of Varieties Using Real Morse Theory

dc.contributor.advisor	A J, Parameswaran	en_US
dc.contributor.author	MANJILA, NIMA ROSE	en_US
dc.date.accessioned	2021-08-02T09:33:26Z
dc.date.available	2021-08-02T09:33:26Z
dc.date.issued	2021-06
dc.identifier.citation	71	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6132
dc.description.abstract	We study Morse theory. Then, we prove the Lefschetz hyperplane section theorem using only Real Morse Theory. This is a beautiful little proof without making use of monodromy, vanishing cycles and thimbles. We have also proved Riemann Hurwitz formula, and the Genus formula for plane curves by using Real Morse theory in beautiful, original methods.	en_US
dc.description.sponsorship	Infosys SHE	en_US
dc.language.iso	en	en_US
dc.subject	Complex Projective variety	en_US
dc.subject	Pencil	en_US
dc.subject	Hyperplane	en_US
dc.subject	Fiber bundle	en_US
dc.title	Topology of Varieties Using Real Morse Theory	en_US
dc.type	Thesis	en_US
dc.type.degree	BS-MS	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.contributor.registration	20151182	en_US

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MS THESES [1705]
Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme